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A ramp is used to load suitcases on an airplane. If the cargo door is 7 feet from the ground and the angle formed by the end of the ramp and the ground is 25 , how long is the ramp

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Answer: 16.56ft

Step-by-step explanation:

From the diagram of the triangle attached below, we can apply Pythagoras rule to calculate the length of the ramp.

From Pythagoras :

SOHCAHTOA

SOH

A = 25°, opposite = 7ft

Hypothenus = x

The hypothenus (x) represents the length of the ramp.

Sin A° = opposite ÷ hypothenus

Sin 25° = 7 ÷ x

0.4226 = 7 ÷ x

x = 7 ÷ 0.4226

x = 16.56ft.

Therefore, length of ramp = 16.56ft.

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