Question

Find x round your answer to the nearest integer.

Answer 1

Answer:

C. 12

Step-by-step explanation:

Pythagoras Theorem

Answer 2

Answer:

C

Step-by-step explanation:

Note that x is opposite to the given angle and we are also given the hypotenuse.

Since we have an angle and the side opposite to it and the hypotenuse, we can use the sine ratio. Recall that:

$\displaystyle \sin \theta =\frac{\text{opposite}}{\text{hypotenuse}}$

The opposite side is x, the hypotenuse is 15, and the angle is 53. Substitute:

$\displaystyle \sin 53^\circ = \frac{x}{15}$

Solve for x:

$x=15\sin 53^\circ$

Use a calculator (make sure you're in Degrees Mode!). Hence:

$x=11.9795...\approx 12$

Our answer is C.