at a point on the ground 50 meters from the foot of a tree, the angle of elevation to the tree is 48°. find the height of the tree to the nearest meter.

Respuesta :

Answer:

56 meters


Step-by-step explanation:

The height of the tree and its shadow forms a right angle. Together with the line joining the pit of the shadow and the tree make a right triangle.  

We can use the trigonometric ratio tangent to find its height.

tan = opposite/adjacent

tan 48° = height/50

height = 50 × tan48°

           = 50 × 1.11

           = 55.5 meters

To the nearest meters, height = 56 meters