What is the measure of angle A in the triangle below? TIMED HELP

Question

asked Jan 17, 2019 138k views

2 Answers

Zahi Enix · Answer 1 · 2019-01-23T18:00:01+0000

Answer:

Option A is correct

30°

Explanation:

Using sine ratio:

$\sin \theta = \frac{\text{Opposite side}}{\text{Hypotenuse side}}$

In a given triangle ACB:

BC = 9 units and AB = 18

Opposite side of angle A = BC = 9 units

Hypotenuse side = AB = 18 units.

By sine ratio:

$\sin A = (9)/(18)$

$\sin A = (1)/(2)$

$\sin A = \sin 30^(\circ)$

On comparing both sides we have;

$\angle A = 30^(\circ)$

therefore, the measure of angle A is 30 degree.