Question

A boy sees the top of a tree at an angle of elevation 40degree. The boy is 10metres away from the tree. Find the height of the tree?
2 points

a. 8.4
b. 12.5
c. 5.5​

Answer 1

Question:

A boy sees the top of a tree at an angle of elevation 40degree. The boy is 10metres away from the tree. Find the height of the tree?

solution:

option A

Given:

• The boy is 10metres away from the tree.
• elevation θ = 40°

To find:

Find the height of the tree?

step by step explanation:

Let AB be distance between boy and tree and height of tree be h = BC

Let us assume the height of the tree as h

In right angled ∆ABC ,

$\sf tan \: 40\degree = \frac{BC }{AB}$

$\sf tan \: 40\degree = \frac{h}{10}$

$\sf h = tan \: 40\degree \times 10$

$\sf h = 0.84 \times 10 = 8.4(approx)$

Therefore,

$\longrightarrow\underline{\underline{\red{\sf{The \: height \: of \: the \: tree = 8.4(approx)}}}}$