Question

What is the length of the side of the triangle opposite to theta if theta is equal to 30 degrees and the hypotenuse is 2 units

Answer 1

Answer:

1 unit

Step-by-step explanation:

In a right angled triangle, the side opposite to the acute angle theta given is always the opposite side of the triangle and the longest side is the hypotenuse.

Given the angle theta in a triangle to be 30 degrees and the hypotenuse to be 2 units, to ge the opposite side, we will use the trig identity SOH in SOH, CAH, TOA

Sin(theta) = Opposite/Hypotenuse

Substitute the given parameters into the expression

sin30° = Opposite/2

cross multiply

Opposite = 2 * sin30°

Opposite = 2 * 0.5

Opposite = 1 unit

Hence the length of the side of the triangle opposite to theta is 1 unit.