Question

Use the right triangle shown to answer the question. What is the value of cos r?

A: 8/17
B: 8/15
C: 15/17
D: 17/15
E: 17/8

Answer 1

`(15)/(17)`

Explanation:

In the given image the triangle is right angled triangle.

Given data: Hypotenuse = 34, Base = 30, Opposite side = 16

The formula for cos r is

Cos r =
`\frac{\text { Base }}{\text { Hypotenuse }}`

Substitute the value of base and hypotenuse in the formula

Cos r =
`(30)/(34)`

=
`(15 * 2)/(17 * 2)`

Cos r =
`(15)/(17)` (cancel the common term)

Therefore, the value of cos r is
`(15)/(17)`.