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

Considering the trigonometric relationships, the distance from the ball to the goal is 11.86 ft.

The right triangle is a three-sided polygon that has one of its right angles, that is, it measures 90 °, while the remaining two angles are less than a right angle, but add up to 90 °.

The elements of a right triangle are: the two sides contiguous to the right angle called legs, and the longest side, opposite the right angle, which is the hypotenuse.

Trigonometric relationships are special measures of a right triangle. Remember that the two sides of a right triangle that form the right angle are called the legs, and the third side (opposite the right angle) is called the hypotenuse.

There are three basic trigonometric relationships: sine, cosine, and tangent, which are defined as:

In this case, the trigonometric relation used is the tangent, where:

Replacing in the definition:

Solving:

distance× tangent(34)= 8 ft

distance= 11.86 ft

Finally, the distance from the ball to the goal is 11.86 ft.

Learn more about trigonometric relationships:

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step-by-step explanation:

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