Question

The angle of elevation of the Wayne Tower in Gotham city is 15 degrees from the ground at a distance of 5,280 feet from the base of the building. Find the height of Wayne tower rounding answer to the nearest tenth of a foot

Answer 1

`h=1,414.8ft`

1) Let's sketch this out to better grasp it:

2) Now, let's make use of a trigonometric ratio, the tangent to find out the height of that Wayne Tower in Gotham:

`\begin{gathered} \tan (15)=(h)/(5280) \\ h=5280\cdot\tan (15) \\ h\approx1414.8 \end{gathered}`

Note that we rounded off to the nearest tenth of a foot as requested.

3) Hence, the height of the Wayne Tower is approximately 1,414.8 feet