Let the angle = x
Using the figure below, to find x, setup the equation:
x+70+x=180
2x+70=180
2x=110
x=55°
So the ball hits the surface at 55° and bounces back at 55°.
Answer: 55°
Answer:
7/15
Step-by-step explanation:
hope the picture helps
Using the Pythagorean theorem:
47 ^2 = 11^2 + x^2
2209 = 121 + x^2
Subtract 131 from both sides
2088 = x^2
Take the square root of both sides
X = sqrt(2088)
Simplify
X = 6sqrt(58)
Angles could be expressed in degrees or in radians. The relationship between the two could be easily explained by illustrating a circle. A semi-circle has a total angle of 180°. This is equal to a π radians. So if the angle is π/2, in degrees, that would be 180/2 = 90°.
Then, determining the cosine 90° in a calculator would yield an answer of zero.