Get 2 FREE Instant-Explanations on Filo with code FILOAPP

The angle od elevation of the top of tower from two points A a

Question

The angle od elevation of the top of tower from two points $A$ and $B$ lying on the horizontal through the foot of the tower are respectively $1 5^{o}$ and $3 0^{o}$ . If $A$ and $B$ are on the same side of the tower and $A B = 48 m$ , then the height of the tower is:

Views: 939 students

Found 3 tutors discussing this question

Olivia Discussed

The angle od elevation of the top of tower from two points

A

and

B

lying on the horizontal through the foot of the tower are respectively

1 5^{o}

and

3 0^{o}

. If

A

and

B

are on the same side of the tower and

A B = 48 m

, then the height of the tower is:

11 mins ago

Discuss this question LIVE

11 mins ago

Text solutionVerified

C D = t o w er = h

tan 15° = \frac{h}{48 + x} ⟶ (i)

tan 30° = \frac{1}{3} = \frac{h}{x} ⟹ h = \frac{x}{3} ⟹ x = h 3

tan 15° = tan (45° - 30°) = \frac{1 - \frac{1}{3}}{1 + \frac{1}{3}} = \frac{3 - 1}{3 + 1} = \frac{h}{48 + x} = \frac{h}{48 + h 3}

483 - 48 + 3 h - h 3 = h 3 + h

h = \frac{48 ( 3 - 1 ) ^{2}}{2} = 24 (4 - 23) m

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	The angle od elevation of the top of tower from two points $A$ and $B$ lying on the horizontal through the foot of the tower are respectively $1 5^{o}$ and $3 0^{o}$ . If $A$ and $B$ are on the same side of the tower and $A B = 48 m$ , then the height of the tower is:
Answer Type	Text solution:1
Upvotes	150