Question

A right triangle has a 35 degree angle. The opposite leg to that angle is 12m long. Find the hypotenuse

Answer 1

The hypotenuse of the triangle is 21.05 m

Explanation:

Given that a right triangle has a 35 degree angle. The opposite leg to that angle is 12 m long.

We need to determine the hypotenuse of the triangle.

Hypotenuse of the triangle:

The hypotenuse of the triangle can be determined using the formula,

$Sin \ \theta=\frac{opp}{hyp}$

Substituting $\theta=35, opp= 12$, we have;

$Sin \ 35=\frac{12}{hyp}$

Simplifying the values, we get;

$hyp=\frac{12}{Sin \ 35}$

Dividing, we get,

$hyp=\frac{12}{0.57}$

$hyp=21.05 \ m$

Thus, the hypotenuse of the triangle is 21.05 m