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:
The answer for this problem is
C) y = -x + 6
Step-by-step explanation:
I know this because I just did the test
Solve first for the solution of the inequalities. This can be done by replacing first the inequalities sign with the equal sign.
x + y = 1
2y = x - 4
The values of x and y from the system of linear equation are 2 and -1. This means that the intersection of the lines should be at point (2, -1).
Substitute 3 to x and determine the value of y from the second inequality.
2y ≥ x - 4
Substituting,
2y ≥ 3 - 4, y ≥ -1/2
Hence, the solution to this item should be the fourth one.
Answer:
RS = 75.3
Step-by-step explanation:
You need to set up the proportion of corresponding sides.
7(RS) = 31(17)
= 527
RS = 527/7 = 75.2857...
= 75.3
Answer:
x=1.3288 or -1.1288
Step-by-step explanation:
Given 
Subtract 4x from both sides
Since we can factor out 2 from whole equation, let's factor out 2.
Divide with 2 on both sides
We got the quadratic equation, we can solve for x using quadratic formula.
