Question

MODELING WITH MATHEMATICS A surveyor is standing 118 feet from the base of the Washington Monument. Thesurveyor measures the angle of elevation from the ground to the top of the monument to be 78°. Find the height h of theWashington Monument to the nearest foot.haftung

Answer 1

Th problem is shown below:

h is the height of the monument.

Using the formula of a tangent:

`tan(\theta)=(opposite)/(adjacent)`

In this question:

θ = 78°

opposite: h

adjacent: 118 feet

`\begin{gathered} tan(78)=(h)/(118) \\ 4.70=(h)/(118) \\ 4.70*118=(h)/(118)*118 \\ 555\text{ feet = h} \end{gathered}`

Answer: 555 feet.