Question

The question is on the picture

Answer 1

Answer: 34.11 m

Explanation:

We will use a trigonometric function to solve this question and find c.

We are given the hypotenuse to solve for (c), an angle, and the opposite side/leg. This will utilize the sine function.

Given:

sin(θ) =
`\frac{\text{Opposite leg}}{\text{Hypotenuse}}`

Substitute known values:

sin(38°) =
`(21)/(c)`

Multiply both sides of the equation by c:

c(sin(38°)) = 21

Divide both sides of the equation by sin(38°):

c =
`\frac{21}{\text{sin(38\°)}}`

Compute sin(38°):

c =
`(21)/(0.6156615)`

Divide:

c = 34.109652788 ≈ 34.11

The side of c, the hypotenuse, is equal to 34.11 m.