Get 2 FREE Instant-Explanations on Filo with code FILOAPP

On the same side of a tower two objects are located. Observed

Question

On the same side of a tower two objects are located. Observed from the top of the tower their angles of depression are $4 5^{0}$ and $6 0^{0}$ . If the height of the tower is $150 m$ the distance between the objects is

63.5

m

76.9

m

86.7

m

90

m

Views: 837 students

Found 8 tutors discussing this question

Harper Discussed

On the same side of a tower two objects are located. Observed from the top of the tower their angles of depression are

4 5^{0}

and

6 0^{0}

. If the height of the tower is

150 m

the distance between the objects is

11 mins ago

Discuss this question LIVE

11 mins ago

Text solutionVerified

Let

A B

be the tower and

C

and

D

be the point of object

Given

A B = 150 m

. And

∠ A CB = 4 5^{0}

and

∠ A D B = 6 0^{0}

Δ B A D

tan 6 0^{0} = \frac{A B}{A D}

\Rightarrow 3 = \frac{150}{A D} \Rightarrow A D = \frac{150}{3}

In triangle

B A C

tan 4 5^{0} = \frac{A B}{A C} \Rightarrow 1 = \frac{150}{A C} \Rightarrow A C = 150 m

∴ C D = A C - A D = 150 - \frac{150}{3} = [\frac{150 ( 3 - 1 )}{3}] = 50 (3 - 3) = 50 \times 1.27 = 63.5

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	On the same side of a tower two objects are located. Observed from the top of the tower their angles of depression are $4 5^{0}$ and $6 0^{0}$ . If the height of the tower is $150 m$ the distance between the objects is
Answer Type	Text solution:1
Upvotes	150