Question

You are standing 15 ft away from a tree. The angle of elevation from the groumd where you are standing to the top of a tree is 52°. How tall is the tree?

Answer 1

Answer:

the height of the tree is 19.2 ft

Step-by-step explanation:

Given;

distance from the foot of the tree, d = 15 ft

angle of elevation; θ = 52°

let the height of the tree = h

Make a sketch of the problem as follows;

                                  ↑

                                  ↑ h

     52°---------------------

                  15 ft

If completed to form a right triangle by adding the hypotenuse side, we can calculate the height of the tree as follows;

$tan (52)= \frac{h}{15} \\\\h = 15 \times tan(52)\\\\h = 19.2 \ ft$

Therefore, the height of the tree is 19.2 ft