A ramp into a building forms a 7° angle with the ground. If the entry point of the ramp is 6 feet from the building, how many feet long is the ramp? Round the solution to the nearest hundredth.

5.33 feet
6.05 feet
7.04 feet
7.96 feet

6.05 feet

Step-by-step explanation:

Please find attached to this answer the diagram that explains the question.

We would be using the Trigonometric function to solve this question

The trigonometric function we would be using is the cosine function.

From the question, we are given the following values

A ramp into a building forms a 7° angle with the ground = angle theta (θ)

The entry point of the ramp is 6 feet from the building = Adjacent side

The formula for cosine =

cos θ = Adjacent/ Hypotenuse

θ = 7°

Hypotenuse = unknown,

Therefore,

cos 7° = 6 feet/ Hypotenuse

cos 7° × Hypotenuse = 6 feet

Hypotenuse = 6 feet/ cos 7°

Hypotenuse = 6.0450589528 feet

Approximately to the nearest hundredth = 6.05 feet

Therefore, the ramp is 6.05 feet long.

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