Question

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Answer 1

Answer:

C. 31.4

Step-by-step 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,

$sin 35^{\circ}=\frac{18}{x}$

$x sin 35^{\circ}=18$       ( By cross multiplication )

$x = \frac{18}{sin 35^{\circ}}=31.3820423212\approx 31.4$

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.