The sail of a boat is in the shape of a right triangle, as shown below: The sail of a boat is a right triangle with an acute angle equal to 35 degrees and the side of the sail which is the hypotenuse Which expression shows the height, in meters, of the sail? (6 points) Select one: a. 8 divided by cosec 35 degrees b. 8 sin 35° c. 8 sec 35° d. 8 divided by sec 35 degrees

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D. 8 / sec 35° = x.

Step-by-step explanation:

In this situation, the adjacent side is being solved for. This means that we will need to use cos, or adjacent/hypotenuse.

Begin by writing an equation where 'x' is the adjacent side:

cos 35° = x / 8

Simplify this equation by multiplying both sides by 8:

8 · cos 35° = x / 8 · 8

8 cos 35° = x.

None of the answer choices represents this exact expression, so convert cosine to secant:  

If 8 cos 35° = x, then:

8 ÷ = x

Or:

8 / sec 35° = x. The correct answer is D.

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step-by-step explanation:

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