Question

A 10-foot ramp must make an angle of 30° with the ground if it is to reach a certain window. What angle must a 15-foot ramp make with the ground to reach the same window? 16.5° 19.5° 48.6° 70.5°

Answer 1

First, we need to find the height of the window:

SInβ = Opposite/Hypotenuse 

Sin 30 = h/10

 

Making h the subject:

h = 10Sin 30 = 5 ft

 

 

To find angle α

 

Sin α = 5/15 = 1/3

 

   α = 19.5

 

Answer 2

Answer:

Step-by-step explanation:

First, we need to find the height of the window:

SInβ = Opposite/Hypotenuse

Sin 30 = h/10

Making h the subject:

h = 10Sin 30 = 5 ft

To find angle α

Sin α = 5/15 = 1/3

α = 19.5