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Vitek1552 [10]
3 years ago
8

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

Mathematics
1 answer:
Ronch [10]3 years ago
7 0

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.

<u>Hypotenuse of the triangle:</u>

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

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