Question

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?

Answer 1

the hawk has flow 824.62 meters southwest of the mountain peak.

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.