Answer:
27x-64x^2
Step-by-step explanation:
Distribute the 8x
3x-64x^2+24x
Combine like terms (3x and 24x)
27x-64x^2
A(x - x₁)(x - x₂) = 0
a=5, x₁=-3, x₂ = 3
so:
5(x-(-3))(x-3)=0
5(x+3)(x-3)=0
5(x²-9) = 0
5x² - 45 = 0 ← answer
FD/CA = EF/BC
x/(8.5 mm) = (12 mm)/(4 mm)
x = (8.5 mm)*(12/4)
x = 25.5 mm . . . . . . . . . . . the 3rd selection
The angle of elevation from the hiker to the park ranger is the same as the angle of depression from the ranger to the hiker, 29°.
The tangent function of an angle is the ratio of the opposite side (500') to the adjacent side (x) in the right triangle shown. That is
tan(29°) = 500' / x
Multiplying the equation by x/tan(29°) gives
x = 500' / tan(29°)
x ≈ 500' / 0.5543
x ≈ 902 ft
