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slm1595
07.08.2019 •
Mathematics
Driving down a mountain, bob dean finds that he descends 6000 feet in elevation by the time he is 4.5 miles (horizontally) away from the high point on the mountain road. find the slope of his descent. (1 mile = 5280 feet).
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Ответ:
Slope of descent is 14.17°
Step-by-step explanation:
As given in the question Bob Dean finds that when he descends height AB = 6000 feet, by the time he is 4.5 miles (BC) away from the high point on the mountain road.
We have to find the slope (measure of ∠C) as given in the figure attached.
First we will convert length of BC = 4.5 miles into feet to make all units uniform.
∵ 1 mile = 5280 feet
∴ 4.5 miles = 5280×4.5 feet
= 23760 feet
Since angle of descent is always equal to the angle of elevation
So slope = tanC =![\frac{AB}{BC}](/tpl/images/0172/7328/ac823.png)
=![\frac{6000}{23760}](/tpl/images/0172/7328/eda3c.png)
= 0.2525
C =![tan^{-1}(0.2525)](/tpl/images/0172/7328/e10ba.png)
= 14.17°
Therefore, slope of his descent is 14.17°.
Ответ:
2.21 times 10 to the power power of 21
Step-by-step explanation: