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alex41 [277]
2 years ago
13

A plane ascends at a 40° angle. When it reaches an altitude (height) of 100 feet, how much ground (horizontal) distance has it c

overed? Round your answer to the nearest tenth.
Mathematics
1 answer:
stepan [7]2 years ago
3 0

Answer:

119.2 ft.

Step-by-step explanation:

In order to find the ground distance covered, we must find what the values given are for. 40° is the angle that is θ. 100 ft is the altitude, which is the height. We must find the ground distance covered. So we can find using the tan formula:

tanθ = Opposite side ÷ adjacent side

The opposite side is the height and the adjacent side is the ground distance, which we are going to assume as x. So when all values are substituted:

tan 40° = 100 ÷ x

So,

x = 100 ÷ tan 40°

x = 119.2 ft

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Question 20
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The distance between the bottom of the lighthouse and the boat is 77.6m.

<h3>What is the distance between the bottom of the lighthouse and the boat?</h3>

The lighthouse and the boat would form a right triangle. The height would be the height of the lighthouse. The  distance between the top of the lighthouse and boat would be the hypotenuse. The  distance between the bottom of the lighthouse and the boat would be the base.

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To learn more about Pythagoras theorem, please check: brainly.com/question/14580675

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