Question

Given a right triangle. One cathetus is 100cm long. Find the length of the other cathetus, if the angle opposite to it is 71.6^circ.

Non-right triangles and trigonometry
ANSWERED
asked 2021-09-10
Given a right triangle. One cathetus is 100cm long. Find the length of the other cathetus, if the angle opposite to it is \(\displaystyle{71.6}^{\circ}\). Round your answer to an integer.

Expert Answers (1)

2021-09-11
Let the unknown cathetus be a. Use the tangent ratio:
\(\displaystyle{{\tan{{71.6}}}^{\circ}=}\frac{{a}}{{100}}\)
\(\displaystyle{a}={100}{{\tan{{71.6}}}^{\circ}}\)
\(\displaystyle{a}\approx{300}\) cm
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