Question

In the triangle below, y= . Round to the nearest tenth

Answer 1

Use cosine.

`cosine={adjacent}{hypotenuse}`

We have:

adjacent = 9cm and hypotenuse = 17 cm

`\cos x=(9)/(17)\approx0.5294\to x\approx58^o`

Answer 2

x = 58°

Explanation:

In the given right angle triangle we have to find the value of x.

In this triangle one leg is given as 9 cm and hypotenuse is 17 cm.

Since cos x =
`\frac{\text{Adjacent leg}}{Hypotenuse}`

cos x =
`(9cm)/(17)` = 0.52941

x =
`cos^(-1)` (0.52941)

= 58.03 ≈ 58°

Therefore, x = 58° is the answer.