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Zagorodniypolina5
29.12.2020 •
Mathematics
A person is watching a boat from the top of a lighthouse. The boat is approaching
the lighthouse directly. When first noticed, the angle of depression to the boat is
17°31. When the boat stops, the angle of depression is 46°41: The lighthouse is 200
feet tall. How far did the boat travel from when it was first noticed until it stopped?
Round your answer to the hundredths place. (3 points)
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Ответ:
9514 1404 393
445.10 feet
Step-by-step explanation:
The relation between angle of depression and distance to the boat is ...
Tan = Opposite/Adjacent
tan(angle of depression) = (200 ft)/(distance to boat)
Then the distance to the boat is ...
distance to boat = (200 ft)/tan(angle of depression)
__
We want the change in distance between the two angles, so ...
change in distance = (200 ft)/tan(17°31') -(200 ft)/tan(46°41')
= (200 ft)(cot(17°31') -cot(46°41'))
change in distance ≈ 445.10 ft
Ответ:
Step-by-step explanation:
so ur gonna have to multiply 2/5 by a number to get -2
let that number be n
2/5n = -2
n = -2 * 5/2
n = - 5
check it...
2/5 *-5 = -2
-10/5 = -2
-2 = -2 (correct)
so multiplying the first equation by -5 will create opposite x terms