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:
x = 14
Step-by-step explanation:

Answer:
0.16%
Step-by-step explanation:
From the statement of the question;
Number of Laryngeal cancer due to smoking = 160
Population of smokers = 100,000
Hence the percentage of smokers liable to have Laryngeal cancer = 160/100000 ×100/1
=0.16%
Hence 0.16% of smokers are liable to Laryngeal cancer
So
in this problem we can see that there will be 60 people at the party.
Following the conditions for this event that state the following:
$750 for up to 30 people and every extra person pays $20. To show
that the cost will be $1350 in total we simply do this:
For
30 people we have $750 dollars. Now every other person after pays
only $20. That means that another the other 30 people will pay in
total only $600.
If
we add them we get: $750 + $600 = 1350. This shows that the cost will
be $1350.
<span>
I
hope it helps, Regards.</span>
Answer:
The value of angle is 56.9°
Step-by-step explanation:
First, you have to find the length of hypotenuse using Pythagoras' Theorem, c² = a² + b² :







In order to find θ, you have to apply Sine Rule :




