Get 2 FREE Instant-Explanations on Filo with code FILOAPP

A tower subtends an angle at point 'A' in the plane of its b

Question

A tower subtends an angle $α$ at point 'A' in the plane of its base and the angle of depression of the foot of the tower at height 'b' just above A is $β$ . The height of the tower is

b tan α cot β

b cot α cot β

b tan α tan β

b cot α tan β

Views: 693 students

Found 4 tutors discussing this question

Elijah Discussed

A tower subtends an angle

α

at point 'A' in the plane of its base and the angle of depression of the foot of the tower at height 'b' just above A is

β

. The height of the tower is

10 mins ago

Discuss this question LIVE

10 mins ago

Text solutionVerified

Let

A P = BR = x

then from

Δ A PQ

we find that
the height of the tower

= PQ = x tan α = (b cot β) tan α

(

∵

In triangle APB,

\frac{x}{b} = cot β

)

Was this solution helpful?

150

Report

One destination to cover all your homework and assignment needs

Learn Practice Revision Succeed

Instant 1:1 help, 24x7

60, 000+ Expert tutors

Textbook solutions

Big idea maths, McGraw-Hill Education etc

Essay review

Get expert feedback on your essay

Schedule classes

High dosage tutoring from Dedicated 3 experts

Trusted by 4 million+ students

Stuck on the question or explanation?

Connect with our math tutors online and get step by step solution of this question.

231 students are taking LIVE classes

Question Text	A tower subtends an angle $α$ at point 'A' in the plane of its base and the angle of depression of the foot of the tower at height 'b' just above A is $β$ . The height of the tower is
Answer Type	Text solution:1
Upvotes	150