Question

A tiny but horrible alien is standing at the top of the Eiffel Tower ( which is 324 meters tall) and threatening to destroy the city of Paris! A men in black agent is standing at ground level, 53 meters across the Eiffel square, aiming his laser gun at the alien. At what angle, in degrees, should the agent shoot his laser gun?

Answer 1

Answer:

80degree 42 minutes is the correct answer.

Answer 2

Answer:

The men in black agent should shoot with an angle of $80.7^\circ$ from the ground.

Step-by-step explanation:

The height of the Eiffel Tower is given to us as 324 meter tall on which the alien is standing. The agent is standing at the ground level with a distance of 53 meter from the building.

We know that the trigonometric function of tangent uses the height, base and the angle of elevation between them.

$tan\theta=\frac{Perpendicular}{Base}$

Here, we have to find that angle of elevation, so we will use the trigonometric tangent function.

Using the height of the tower as perpendicular and the distance between the tower and agent as the base, we get:

$tan\theta=\frac{324}{53}$

Simplifying it, we get:

$tan\theta=6.1132$

Taking inverse tangent both sides, we get:

$tan^{-1}(tan(\theta))=tan^{-1}(6.1132)$

$\theta=tan^{-1}(6.1132)$

or we can say:

$\theta=80.7^\circ$