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:
Step-by-step explanation:

Product of a number and its multiplicative inverse should be equal to 1.
So,

The inequality that represents the number of right answers (r) and wrong answers (w) Olga can give to win the contest is: 
<u><em>Explanation</em></u>
Number of right answers is
and number of wrong answers is 
Olga earns 12 points for each right answer and loses 4 points for each wrong answer.
So, total points earned for
right answers
and total points lost for
wrong answers 
That means, <u>her score will be</u>:
points.
In order to win the quiz contest, Olga must score <u>more than 400 points</u>. So, the inequality will be.......

Answer:
No
Step-by-step explanation:
Janita should not but the table. If the table was 6 feet wide, the widest it can be, the area would be 45 square feet. If the table is 46 7/8 square feet, the width is greater than 6 ft.