The sail of a boat is in the shape of a right triangle. Which expression shows the height, in meters, of the sail? 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 to the right triangle is 8 meters long.

cosine 35 degrees over 8

8(tan 35°)

tangent 35 degrees over 8

8(cos 35°)

8(cos 35°)

Step-by-step explanation:

From the question, we are told that,

Acute angle = θ = 35°

We are given the Hypothenuse = 8 meters

We are to find the expression that shows the height

We would solve this question using the trigonometric function cosine.

The formula for cosine = Adjacent / Hypothenuse

Where the Adjacent side = Height of the right angle triangle

cosθ = Adjacent (Height)/ Hypotenuse

Cos 35° = Adjacent/ 8

Cross multiply

Cos 35° × 8 = Adjacent ( Height)

Adjacent side = Height  = 8(cos 35°)

Therefore, expression shows the height, in meters, of the sail = 8(cos 35°)

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step-by-step explanation: