Answer:
66.4°
Step-by-step explanation:
cos XYZ = XY/ZY = 6/15 = 2/5 = 0.4
Using a calculator for cos^(-1) of 0.4 you get 66.42182152°
Answer:
x²- √3 x +1/2
Step-by-step explanation:
To write a quadratic equation with roots only:
x² -(sum of the roots)x+(product of roots)
x²-((√3-1/2)+(√3+1/2)x + ((√3-1/2)(√3+1/2)
x² -(2√3)/2 + ( 9-1)/4
x²- √3 x +1/2
This is the concept of trigonometry, the height of the ramp will be given by:
sin theta=[opposite]/[hypotenuse]
theta=30
opposite=x
hypotenuse=40 ft
hence;
sin 30=x/40
thus;
x=40sin30
x=20 ft
the ramp is 20 ft high