A helicopter takes off from the ground 800 feet from the base of a building. It flies in a straight line directly to the top of the building. If the building is 160 feet tall, what angle did the helicopter take off from? Round the answer to the nearest whole degree. A. 11 B. 20 C.68 D. 79

Respuesta :

If we set this up with 800 ft as the legs and 160 ft as the height, we can then solve for the angle using a trigonometric function.

Since we have the opposite dimension and the adjacent dimension, then we can use tangent to solve for the angle.

[tex] tan(theta)=\frac{opp}{adj} [/tex]

[tex] tan(theta)=\frac{160ft}{800ft} [/tex]

[tex] theta=tan^{-1}(0.2) [/tex]

[tex] theta=0.19739556 [/tex] - but this answer is in radians. So we need to convert to degrees:

[tex] Degrees=\frac{180}{\pi}*radians [/tex]

[tex] Degrees=\frac{180}{\pi} *0.19739556 [/tex]

[tex] Degrees=11.31 [/tex]

Therefore, the angle that the helicopter took off from is A) 11.