Question

The angle of elevation of the Sun is 35.1° at the instant the shadow cast by the Washington Monument is 789 feet long. Use this information to calculate the height of the monument.

Short answer

Hence, the height of monument is 554.5092 feet.

Step-by-step solution

Given Information

Given that the angle of elevation of the Sun is 35.1° at the instant the shadow cast by the Washington Monument is 789 feet long.

Solution

We have to find the height of the monument,

We can draw a figure of the given problem: -

We have to find the height of the monument $AB=xfeet.$

$$\begin{gathered} \tan \left(C\right)=\frac{AB}{BC} \\ \tan \left(C\right)\times BC=AB \\ x=\tan (35.1°)\times 789 \\ x=0.7028\times 789 \\ x=554.5092feet \end{gathered}$$

Final Answer

Hence, the height of monument is 554.5092 feet.