Question

Find the value of x. Round the length to the nearest tenth

A.) 9.0 yd
B.) 15.6 yd
C.) 31.2 yd
D.) 10.4 yd

Answer 1

the answer will be B

Answer 2

D.) 10.4 yd

Explanation:

In the given figure the alternate angles are equal and hence a right angle triangle with one of its angle as 30 degree is formed .

For angle 30 degrees adjacent side is 18 yard and opposite side is x.

Tan of an angle is equal to
`(opposite)/(adjacent)`

`Tan 30=(x)/(18)`

x=Tan 30 (18)

x= 10.39

x= 10.4 yard (rounded to tenth place)

Option D is the right answer.