Question

70) Approximately how many feet tall is thestreetlight?A. 12.8B. 15.4C. 16.8D. 23.8

Answer 1

The height of the street light represent the opposite side.

The adjacent is 20ft

the angle is 40 degrees

using trigonometry ratio for tangent

`\begin{gathered} \tan \theta=(opposite)/(adjacent) \\ \tan 40^0=(x)/(20) \\ \text{where x=height of the stre}etlight \end{gathered}`
`\begin{gathered} x=20*\tan 40 \\ =20*0.8390 \\ =16.78 \end{gathered}`

Therefore the streetlight is approximately 16.8ft

The right option is C