#### Problem Statement:

The angle of elevation of the top of a light house from a boat 50 m is the compliment of the angle of elevation of the same light house, when the boat is 110 m from it. Find the height of the light house.

#### Problem Answer:

The height of the light house is **74.16 m**.

## This content is for Premium Member. Tired of ads?

**Subscribe To Unlock The Content! and Remove Ads.**

- Solution: How far away is the airplane from the control tower?
- Solution: How many square units will the area of the new triangle be?
- Solution: Given three sides, What is the area of the triangle?
- Solution: Find the length of the line bisecting the longest side of a triangular lot
- Solution: What is the third side of the triangle?
- Solution: Determine the side of the equilateral triangle
- Solution: Find the height of the monument stand on a level plane
- Solution: What is the height of the tower?
- Solution: Determine the speed of the ship
- Solution: How far is point A from the building in meters?
- Solution: If the height of tower B is 120 m, find the height of tower A
- Solution: Determine the length of the wire and the angle it makes
- Solution: Determine the length of the pole
- Solution: What is the height of the tower?
- Solution: What will be the planeโs ground speed if it flies in this course?
- Solution: how many hours will the second ship be exactly north of ship A?
- Solution: Find the altitudes, if the areas of the triangles differ by 21
- Solution: Approximate the shortest distance of tower C to the highway
- Solution: Find the height of the nearby building in meters
- Solution: If coversed sin ฮธ = 0.134, find the value of ฮธ
- Solution: If sinA = 2.511x, cosA = 3.06x and sin 2A = 3.939x, find the value of x?
- Solution: Solve for the value of โAโ when sinA = 3.5x and cosA = 5.5x
- Solution: Evaluate: (2sinโกฮธ cosโกฮธ – cosโกฮธ)/(1 – sinโกฮธ+sin^2ฮธ-cos^2ฮธ)
- Solution: Simplify ((cosโก A+cosโก B)/(sin A-sin โกB) + (sinโก A+sin โกB)/(cosโก A-cosโก B))
- Solution: Evaluate (sinโก0ยฐ+sin1ยฐ+sinโก2ยฐ+…+sinโก89ยฐ+sinโก90ยฐ)/(cosโก0ยฐ+cosโก1ยฐ+cosโก2ยฐ+…+cosโก89ยฐ+cosโก90ยฐ)
- Solution: Solve for A for the given equation cos^2A = 1 โ cos^2A.
- Solution: Solve for x in the equation: arc tan(x+1)+arctan (x โ 1)=arctan(12)
- Solution: Solve for x in the given equation: Arctan (2x)+arctan(x)=ฯ/4
- Solution: Evaluate arc cot (2cos (arc sin 0.5))
- Solution: Arc tan(2cos (arc sin (3^(1/2) / 2))) is equal to
- Solution: Simplify the expression secฮธ โ (secฮธ) sin^2ฮธ
- Solution: Simplify the equation sin^2ฮธ(1+cot^2 ฮธ)
- Solution: Find the value of (sinโกฮธ + cosโกฮธtanโกฮธ)/cosโกฮธ
- Solution: Find the value of y in the given: y=(1+cos2ฮธ)tanฮธ
- Solution: If tan x=1/2, tan y=1/3, what is the value of tan (x+y)?
- Solution: If sec 2A=1/sinโก13A , determine the angle of A in degrees
- Solution: Calculate the cotangent of the angle
- Solution: Find the value of sin(arc cos 15/17)
- Solution: If cos65ยฐ + cos55ยฐ = cosฮธ, find the ฮธ in radians
- Solution: Find the value of A between 270ยฐ and 360ยฐ if sin^2A โ sinA=1
- Solution: Solve for G if csc (11G โ 16 degrees) = sec (5G + 26 degrees)
- Solution: If sinxcosx + sin2x = 1, what are the values of x?
- Solution: Solve for x, if tan3x=5tanx
- Solution: If sin 3A = cos 6B, then
- Solution: Solve for ฮธ in the following equation: sin 2ฮธ = cosฮธ
- Solution: CSC 520ยฐ is equal to
- Solution: What are the values of sinB and cosB in the 4th quadrant?
- Solution: Of what quadrant is A, if sec A is positive and csc A is negative?
- Solution: What is (cos A)^4 โ (sin A)^4 equal to?
- Solution: If sec^2A is 5/2, the quantity 1 โ sin^2A is equivalent to
- Solution: What is Sin(BโA) equal to, when B=270 degrees and A is an acute angle
- Solution: Find the distance “d” between the centers of two successive holes
- Solution: What is the vertical rise of the train in that distance?
- Solution: Find the shortest distance from one road to a gas station
- Solution: Find the distance from the point of intersection of the angle bisectors
- Solution: At what distance from the base of the house
- Solution: Find the height of the building
- Solution: Find the distance between the two towers
- Solution: How tall is the pole?
- Solution: How far apart are the two towns?
- Solution: Find the length of the shortest ladder
- Solution: If the ladder is 50 ft. long, how wide is the street?
- Solution: Find the height of the hill if the height of tower is 116 feet
- Solution: What is the width of the river?
- Solution: How far apart are the two towers?
- Solution: Find the radius of the 60th parallel of latitude
- Solution: How high is the taller tower?
- Solution: Find the height of the light house
- Solution: If the complement of an angle theta is 2/5 of its supplement
- Solution: Find the height of a lamp post if the angle of elevation changes
- Solution: For how long is the satellite above the horizon?
- Solution: Find the height of the tower
- Solution: How far must an automobile go up the track?
- Solution: Find the length of the chord of a circle of radius 20 cm
- Solution: What is the area of the gable?
- Solution: Find the largest angle of a triangle formed by joining the centers
- Solution: Calculate the speed of the boat
- Solution: Determine the ratio b:a, if the sides of a right triangle are a, a+b, a+2b
- Solution: Find the smallest angle in mils
- Solution: If a^x = b^y and b^p = a^q , then
- Solution: Find the value of x in the equation (โ5)^(2cos x)=5
- Solution: find the relationship between x and y
- Solution: If (log x)^2=3-log x^2. What could be the value of x?
- Solution: If sineฮธ โ cosฮธ = 1/3, determine the value of sinฮธcosฮธ
- Solution: If sin xcosx > 0, then x may lie in what quadrant?
- Solution: Find the values of x, where 0 โค x โค 360, such that 2sin^2 x+5cosx+1=0
- Solution: If log x+log 5=log (x + 5), determine the value of x
- Solution: Given that cosฮธ=-12/13 and ฮธ is in the third quadrant
- Solution: Simplify, [sinx/(1-cosx)]-[(1+cosx)/sinx]
- Solution: If cosฮธ=โ3/2, find 1-tan^2 ฮธ
- Solution: What is the maximum value of 3-2cos ฮธ?
- Solution: If 2log3 (base x)+log2 (base x)=2+log6(base x), then x equals
- Solution: If log 2=x, log 3=y, then log 1.2 equals
- Solution: If x+y=90, find (sinxtany)/(tanxsiny)
- Solution: If sec (2x-3)=1/sin (5x-9), determine x in degrees
- Solution: In what quadrant will the angle ฮธ terminate

More Questions in: Plane Trigonometry Problems

Also Questions in: Spherical Trigonometry Problems

#### Online Questions and Answers in Plane Trigonometry

#### Online Questions and Answers in Spherical Trigonometry

P inoyBIX educates thousands of reviewers and students a day in preparation for their board examinations. Also provides professionals with materials for their lectures and practice exams. Help me go forward with the same spirit.

โWill you subscribe today via YOUTUBE?โ

**What You Also Get: FREE ACCESS & DOWNLOAD via GDRIVE**

## TIRED OF ADS?

- Become Premium Member and experienced fewer ads to ads-free browsing.
- Full Content Access Exclusive to Premium members
- Access to PINOYBIX FREEBIES folder
- Download Reviewers and Learning Materials Free
- Download Content: You can see download/print button at the bottom of each post.

## PINOYBIX FREEBIES FOR PREMIUM MEMBERSHIP:

- CIVIL ENGINEERING REVIEWER
- CIVIL SERVICE EXAM REVIEWER
- CRIMINOLOGY REVIEWER
- ELECTRONICS ENGINEERING REVIEWER (ECE/ECT)
- ELECTRICAL ENGINEERING & RME REVIEWER
- FIRE OFFICER EXAMINATION REVIEWER
- LET REVIEWER
- MASTER PLUMBER REVIEWER
- MECHANICAL ENGINEERING REVIEWER
- NAPOLCOM REVIEWER
- Additional upload reviewers and learning materials are also FREE

## FOR A LIMITED TIME

If you subscribe for PREMIUM today!

You will receive an additional **1 month of Premium Membership** FREE.

For **Bronze Membership** an additional **2 months of Premium Membership** FREE.

For **Silver Membership** an additional **3 months of Premium Membership** FREE.

For **Gold Membership** an additional **5 months of Premium Membership** FREE.

Join the PinoyBIX community.