A ramp goes from a doorway of a building to the ground. The end of the ramp connected to the doorway is 1 foot above the ground. The distance along the ramp to the building is 5 feet. What is the angle of elevation of the ramp to the nearest degree?

Respuesta :

This is a SOHCAHTOA problem
A right angle triangle is formed from the ramp, doorway and the ground with the ramp being the hypothenus
the elevation angle of the ramp would be the angle the ramp makes with the ground
we can use
TanO equals to opposite over adjacent
TanO equals to 1/5
TanO equals to 0.2
O equal to tan^-1( 0.2)
O equal to 11.3
O equal to 11 degree

Answer:

11,3º above the horizontal.

Step-by-step explanation:

In order to sove this you just have to calculate with the laws of sine, you are creating a rigth triangle, and you know the opposite side and the adjacent side to the angle, which is 1 foot the opposite and 5 feet the adjacent, the function that uses those two is Tan, so tan = Opposite/adjacent

Angle=Tan-1=1/5

Angle: Tan-1*,2

Angle=11,3

So the angle that is formed by the ground and the ramp will be 11,3 grades above the horizontal.