Q. 4 B

# Solve any two sub

The figure is as follows:

In the given figure, AB represents the height of the tree & BC represents the width of the river. The person at the beginning is at point C observing the top of the tree & making an angle of elevation. Moving 40m away again makes an angle of elevation with the top of tree.

ACB and ADB is angle of elevation

ACB = 60°

BC = x

BD = BC + CD

BD = (x + 40) cm

In ABC

ABC = 90°

tan θ = AB / BC

tan 60° = y / x

√3 = y / x

y = √3 x ………….. (i)

tan 30° = AB / BD

But y = √3 x

x + 40 = 3x

2x = 40

x = 20 m

Therefore y = √3 × 20

Height of tree = AB = y = 34.6 m

Width of river = 20 m

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
view all courses
RELATED QUESTIONS :

From the top of tMHB - Mathematics Part-2

Choose the correcMHB - Mathematics Part-2

Solve any two subMaharashtra Board - Geometry Papers

<span lang="EN-USMaharashtra Board - Geometry Papers

<span lang="EN-USMaharashtra Board - Geometry Papers

<span lang="EN-USMaharashtra Board - Geometry Papers

A ladder on the pMHB - Mathematics Part-2

Solve any two subMaharashtra Board - Geometry Papers

A boy standing atMHB - Mathematics Part-2

A person is standMHB - Mathematics Part-2