Question

. Megan is standing 300ft from the Eiffel Tower. The Eiffel Tower is 900 ft tall.

What is Megan's angle of elevation if she looks at the top of the tower?

Answer 1

Solution :-

Angle required = Height of Eiffel Tower/Megan standing place × arctan

=> (900/300) × arctan

=> 3 × arctan

=> 3arctan

=> 71.6⁰

Hence,

Angle = 71.6⁰

`\\`

Answer 2

9514 1404 393

Answer:

about 71.6°

Explanation:

The relevant trig function is ...

Tan = Opposite/Adjacent

Here, the "opposite" side of the right triangle is the height of the tower. The "adjacent" side is the distance to the tower. Then if the angle is x, we have ...

tan(x) = 900/300 = 3

x = arctan(3) ≈ 71.6°

Megan's angle of elevation is about 71.6°.