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maddiemalmstrom
20.10.2020 •
Mathematics
A scuba diver starts at 29 meters below the surface and descends until he reaches 67 meters below sea level. How many meters did he descend?
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Ответ:
explanation:
you subtract 29 from 67
(67-29=38)
Ответ:
since there are no choices given, i will give 2 answers using 2 methods.
1st method: using sine law
we are given the measurements of the angles and one side, therefore to solve this problem we can use the sine law to look for the length of another side, side bc.
where sine law is:
side bc / angle bac = side ac / angle abc
first let us calculate for angle bac. we know that the total angle of a triangle is 180 degrees, therefore:
angle bac = 180 – 70 – 90
angle bac = 20 degrees
going back to the sine law, we substitute the known values:
side bc /sin 20 = 9 / sin 70
side bc = 3.28 inches
2nd method: trigo function
we can also solve this problem by remembering that:
tan θ = opposite side / adjacent side
where,
θ = 70 degrees
opposite side = side ac = 9 inches
adjacent side = side bc
therefore,
tan 70 = 9 / side bc
side bc = 9 / tan 70 = 9 cot 70 = 3.28 inches
we can arrive at the same answer using the 2 methods.