A lighthouse is 90 feet above sea level. The angle of depression from the top of the lighthouse to the center of the rock is 35
degrees, and the angle of depression to the swimmer is 45 degrees. Find the distance between the center of the rock and the swimmer.
1 answer:
Notice the picture below
so.... the angle of depression, is above in dashed lines.... however, the angle of depression, is identical to the angle of elevation from the water, since, both angles are "alternate interior" angles
now, using the 45-45-90 rule, then we know the swimmer is 90 feet from the lighthouse, then just use the tangent ratio to get "x"
so.... the angle of depression, is above in dashed lines.... however, the angle of depression, is identical to the angle of elevation from the water, since, both angles are "alternate interior" angles
now, using the 45-45-90 rule, then we know the swimmer is 90 feet from the lighthouse, then just use the tangent ratio to get "x"
You might be interested in
The interest rate is 3.5%.
EXPLANATION
We substitute the given values into the formula;
to obtain
We divide through by 6000 to obtain,
This implies that,
We take the square root of both sides,
This gives us,
Add -1 to both sides of the equation to obtain
Multiply through by 100 to obtain;
%
EXPLANATION
We substitute the given values into the formula;
to obtain
We divide through by 6000 to obtain,
This implies that,
We take the square root of both sides,
This gives us,
Add -1 to both sides of the equation to obtain
Multiply through by 100 to obtain;
Answer:
5) 30.0m
6) 34.0mi
7) 11.0ft
8) 17.0 km
(all rounded off to the nearest tenth)
Step-by-step explanation:
Please see attached pictures for the full solution.
