Question

The angle of elevation from a soccer ball on the ground to the top of the goal is 34. If the goal is 8 feet tall, What is the distance from he ball to the goal?

Answer 1

Answer:

The distance from he ball to the goal is 11.85 feet (Approx) .

Step-by-step explanation:

As given

The angle of elevation from a soccer ball on the ground to the top of the goal is 34° .

If the goal is 8 feet tall.

Now by using the trigonometric identity .

$tan \theta = \frac{Perpendicular}{Base}$

As shown in the diagram given below

$\theta = 34^{\circ}$

Perpendicular = AB = 8 feet

Base = BC

Put all the values in the identity .

$tan\ 34^{\circ} = \frac{AB}{BC}$

$tan\ 34^{\circ} = \frac{8}{BC}$

$tan\ 34^{\circ} = 0.675\ (Approx)$

$BC = \frac{8}{0.675}$

BC = 11.85 feet (Approx)

Therefore the distance from he ball to the goal is 11.85 feet (Approx) .