Question

Need help asap

find the value of x, rounded to the nearest tenth
A 10.3
B 10.7
C 31.4
D 31.8

Answer 1

C. 31.4

Explanation:

Given,

A right angled triangle in which one leg is of 18 unit,

Also, the angle opposite to that leg is of 35°,

We know that,

`sin \theta =\frac{\text{Perpendicular}}{\text{Hypothesis}}`

Thus, we can write,

`sin 35^(\circ)=(18)/(x)`

`x sin 35^(\circ)=18` ( By cross multiplication )

`x = (18)/(sin 35^(\circ))=31.3820423212\approx 31.4`

Hence, the value of x is approximately 31.4.

Option C is correct.

Answer 2

Sin (angle) = Opposite Leg / Hypotenuse

Sin(35) = 18 / x

x = 18 / sin(35)

x = 31.4

The answer is C.