The kicker for the Panthers football team is attempting a 37 yard field goal. When the kicker kicks the ball it leaves the groun
d at an angle of elevation of 8o. If the height of the goal posts is 10 feet high, will the ball be able to go high enough to make the field goal? Explain your answer!
1 answer:
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Answer:
see explanation
Step-by-step explanation:
Using the tangent ratio in the right triangle
tan A = =
=
, then
∠ A = (
) ≈ 41° ( to the nearest degree )
The sum of the angles in the triangle = 180° , then
∠ B + 41° + 90° = 180°
∠ B + 131° = 180° ( subtract 131° from both sides )
∠ B = 49°
Using Pythagoras' identity in the right triangle
AB² = BC² + AC² = 7² + 8² = 49 + 64 = 113 ( take square root of both sides )
AB = ≈ 10.6 ( to the nearest tenth )
