Question

Solve for the height h in this right triangle. Show all steps and round your answer to thenearest hundredth.h39°875 feet

Answer 1

Step 1

Name all sides

Side facing given angle is the opposite = h

Side facing right angleis the hypotanuse

The other side is the adjacent = 875 feet

`\begin{gathered} \tan \theta\text{ = }\frac{opposite}{\text{adjacent}} \\ \theta\text{ = 39} \end{gathered}`
`\begin{gathered} \tan 39\text{ = }(h)/(875) \\ 0.809\text{ = }(h)/(875) \\ \text{Cross multiple} \\ h\text{ = 0.809 x 875} \\ h\text{ = 708.561} \\ h\text{ = 708.56 } \end{gathered}`