9. You are standing on a mountain that is 6842 feet high. You are looking down at your campsite, creating an angle of depression
of 38°. If your eyes are 5.6 feet above the mountain how far is the base of the mountain from the campsite? (Round to the nearest hundredth)
1 answer:
Answer:
<u>8,764.53 feet</u>
Step-by-step explanation:
See the attached figure which represents the question.
Let the distance between campsite and the base of the mountain = d
The total height = 6842 + 5.6 = 6,847.6 feet.
As shown at the graph, the angle x and the depression angle are alternate angles, so they are congruent.
∴∠x = 38°
tan x = opposite/adjacent = (total height)/d = 6847.6/d
So, d = 6847.6/tan x
= 6847.6/tan 38° = 8,764.53 feet (to the nearest hundredth)
so, the distance between campsite and the base of the mountain = 8,764.53 feet
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Answer:
The APR at which the money is borrowed, is approximately 651.79%
Step-by-step explanation:
The amount which one wishes to borrow for two weeks, P = $600
The amount of interest that one must pay back = $25 per $100 borrowed
Therefore;
The total interest on the $600 loan (borrowed) for two weeks = 25/100× $600 = $150
The number of days for which the amount was borrowed = 2 weeks = 14 days
The Annual Percentage Rate, APR is given as follows;
Therefore, we get
The annual rate at which the money is borrowed, APR ≈ 651.79%.