Question

The angle of elevation from a soccer ball on the ground to the ground to the top of the goal 34 degrees. If the goal is 8 ft tall, what is the distance from the ball to the goal. Draw a picture, and then solve the missing part

Answer 1

Check the picture below.

make sure your calculator is in Degree mode.

Answer 2

Answer:

$11.86\ ft$

Step-by-step explanation:

see the attached figure to better understand the problem

In the right triangle ABC  

$tan(34\°)=\frac{BC}{AB}$

substitute the values and solve for AB

$tan(34\°)=\frac{8}{AB}$

$AB=\frac{8}{tan(34\°)}=11.86\ ft$