Answer:
110in
Step-by-step explanation:
The horizontal distance from where you stand to the lamp post is 40 inches.
Let the height of the lamp post be y inches.
The angle of elevation from the ground to the top!
of the lamppost to be 70°.
The height , y and the horizontal distance, form the legs of a right triangle .
We can use the tangent ratio, to calculate the height of the lamp post .
[tex] \tan(70 \degree) = \frac{y}{40} [/tex]
[tex]y = 40 \tan(70) [/tex]
[tex]y = 109.9[/tex]
To the nearest inch, the height is 110 inches
