Question

What is the length of ? Round to the nearest tenth.

9.7 m
10.4 m
37.3 m
38.6 m

Answer 1

D.

Step-by-step explanation:

Answer 2

Using basic trigonometry we can write an equation in COS.

Taking 75° as the angle, its adjacent side is given and we need to find hypotenuse (x). Hence, we use cosine.

We know
`cos x=(adjacent)/(hypotenuse)`, so we can write,

`cos 75 = (10)/(x) \\x=(10)/(cos 75) \\x=(10)/(0.2588) \\x=38.64`

The length of x, rounded to one decimal place, is 38.6 meters. Fourth choice is correct.

ANSWER: 38.6 m