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angelicahouston8727
10.03.2021 •
Mathematics
A hawk takes flight from a mountain peak and flies 800 meters west. Then it takes a turn and flies 200 meters south. What is the distance and direction of the hawk from the mountain peak?
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Ответ:
the hawk has flow 824.62 meters southwest of the mountain peak.
Step-by-step explanation:
In order to find the distance we need to use the Pythagoras theorem
d^2 = 800^2 + 200^2
d= 824.6 m
we can find the direction by using the eq for a tangent
he opposite side is 200 m and the adjacent side is 800m
tan theta = opposite / adjacent
theta = arc tan (800/200)
The hawk is at a distance of 824.6m flying at an angle 76 degrees NE of the mountain peak.
The final location will be southwest of the mountain peek.
a2+b2=c2
a = 200
b= 800
c = √(2002+8002) = 824.62
So the hawk has flow 824.62 meters southwest of the mountain peak.
Ответ:
D
Step-by-step explanation:
2 semicircles at the end and 1 rectangle in the middle. Add the areas to find the total area.