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
Answer:
-14
Step-by-step explanation:
(-4)(5)+(-3)(-2)
=-20+6
=-14
Answer:
90% of them are quarters.
Step-by-step explanation:
If you take 50 and multiply it by two, you get 100. But, in order to get the right number, you have to multiply 45 by two as well. 45 x 2 is 90. 90 out of 100 is 90 percent. So 90% is the answer.
Answer:
-2y2 - 4y - 7
Step-by-step explanation:
2y2 + 2y2 - 6y2 - 4y - 5 - 3 + 1
4y2 - 6y2 - 4y - 8 + 1
-2y2 - 4y - 7
Answer:
3x - 4
Step-by-step explanation:
Slope (m): 3
Y-intercept (c): = -4
Equation of Line: Y=mx + c
Y=3x -4
