Question

How tall is the flagpole? Round your answer to the nearest foot.

Answer 1

Given the question in the image, the following are the solution steps to answer the question.

STEP 1: Draw the scenario

STEP 2: Write the given values from the drawing above

`\theta=32^(\circ),adjacent=40,opposite=x`

STEP 3: Solve for x using the appropriate trigonomentric ratio

`\begin{gathered} \text{Given }\theta,adjacent\text{ and opposite, we use:} \\ \tan \theta=\frac{\text{opposite}}{\text{adjacent}} \\ \tan 32^(\circ)=(x)/(40) \\ By\text{ cross multiplication,} \\ x=40*\tan 32^(\circ) \\ x=40*0.624869351=24.99477408 \\ x\approx25\text{ f}eet\text{ to the nearest foot} \end{gathered}`

Hence, the height of the flagpole is approximately 25 feet