Question

Find the value of x. Round the length to the nearest tenth. (1 point)

7.2 ft
6.9 ft
13.9 ft
9.7 ft

Answer 1

The length of the base is 7.2 ft. Option (a) is true.

Explanation:

We have a right triangle, and we know the hypotenuse (10) and the angle (44 degrees).

We want to find the length of the base (x).

We can use the cosine function to solve this problem.

The cosine function is defined as the ratio of the adjacent side to the hypotenuse.

In this case, the adjacent side is x, and the hypotenuse is 10.

So we can write:

cos(44°) = x/10

Plugging in cos(44°) ≈ 0.7193, we get:

0.7193 = x/10

Multiplying both sides by 10, we get:

x ≈ 7.193

Therefore, Option (a) is true.