An airplane climbs at an angle of 12° with the ground. Find the horizontal distance it has traveled once it has reached an altitude of 500 feet. using cos

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Answer:

2352.32

Step-by-step explanation:

Sin 12 = 500/H

H = 2404.86717

Cos(12) = A/2404.86717

A = 2352.32

The horizontal distance it has traveled once it has reached an altitude of 500 feet is approximately 2352 feet.

The situation forms a right angle triangle

What is a right angle triangle?

A right angle triangle has one of its angles as 90 degrees. The sides and angles can be found using trigonometric ratios.

The altitude of the plane is the opposite side.

The horizontal distance it travelled is the adjacent side of the triangle formed.

Therefore,

tan 12 = opposite / adjacent

tan 12 = 500 / a

a = 500 / tan 12

a = 500 / 0.2125565616

a = 2352.31573723

a = 2352 feet

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