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In the right triangle in Figure, If thet...

In the right triangle in Figure, If `theta = 67^(@)`, what is the value of x ?

A

`2.9`

B

`7.6`

C

`16.5`

D

`17.9`

Text Solution

Verified by Experts

The correct Answer is:
D
The value x here the length of the hypotenuse of the right triangle. Remember that the cosine of an angle of a right triangle equals the ratio of the angle's adjacent side to the hypotenuse. Use this ratio to make an equation and then solve it for the variable. Use you calculator to calculate cos `67^(@)`.
`cos 67^(@)=(7)/(x)`
`0.391 = (7)/(x)`
`x = (7)/(0.391)~~17.9`
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