Question

Learning Diagnostic Analytics Recommendations Skill plans Math Level K HH.5 Trigonometric ratios: find an angle measure RSS You have prize Find mZH. I 8 G 4 H Write your answer as an integer or as a decimal rounded to the nearest tenth. mZHE

Answer 1

The Solution:

Given:

We are required to find the measure of angle H.

By applying the trigonometric ratio, we have that:

`\begin{gathered} \tan\angle H=(opposite)/(adjacent) \\ \\ \tan\angle H=(8)/(4) \end{gathered}`
`\begin{gathered} \tan\angle H=2 \\ \text{ Take the arctan of 2} \end{gathered}`
`\angle H=\tan^(-1)(2)=63.4349\approx63.4^o`

Therefore, the correct answer is 63.4 degrees.