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°)