Question

I need help to find x

Answer 1

x = 18.424 m

Explanation:

Given this is a right triangle, we can use trigonometric functions to solve this question.

They are;

sin(x) cos(x) and tan(x)

sin(x) is equal to the opposite side of the angle 62° divided by the hypotenuse of the triangle (the longest side)

cos(x) is equal to the adjacent side length of angle 62° divided by the hypotenuse of the triangle

tan (x) is equal to the opposite side of the angle 62° divided by the adjacent side length of that same angle

Since we are trying to solve for the opposite side length of the angle 62°, we will use the equation tan(62°) = opposite side length x / adjacent side length 9.8 m

tan(62°) = 1.88

1.88 = x / 9.8 m

1.88 · 9.8 m = x

x = 18.424 m

Answer 2

x = 18.43 meters

Explanation:

Pre-Solving

We are given a right triangle. We know that one of the legs (sides that make up the right angle) is 9.8 meters, and the other one is x meters.

We also know that one of the angles is 62 degrees.

We want to find the value of x.

Solving

In order to find the value of x, we need to use trigonometry.

Recall the three trigonometric ratios:

sine, which is
`(opposite)/(hypotenuse)`

cosine, which is
`(adjacent)/(hypotenuse)`

tangent, which is
`(opposite)/(adjacent)`

These ratios are written in reference to one angle.

We can write our ratios in reference to the 62° angle.

The opposite side will be the leg labeled x, the adjacent will be the leg labeled 9.8m, and the hypotenuse will be the unlabeled side.

Since we have both the values of the opposite and the adjacent side, we can use the tangent of the 62° angle.

This will be written as:
tan(62) =
`(x)/(9.8)`

Now, multiply both sides by 9.8.

9.8 * tan(62) = x

Plug 9.8 * tan(62) into your calculator. Make sure that your calculator is in degree mode.

18.43 ≈ x

So, x is 18.43 meters.