Daredevil Danny was cliff jumping. He jumped

off a cliff that was 14.2 meters above the

surface of the water. At the end of his jump,

Danny was 2.3 meters below the surface of the

water.

Step-by-step explanation:

Given:

Initial distance, Di = 14.2 m

Final distance, Df = 2.3 m

Distance fallen = Di + Df

= -14.2 + (-2.3)

= -16.5

-16.5 tells us the total distance danny had fallen and the direction of the fall that is, 16.5 m from the origin.

answer4 to the second power is 16

and 4 to the third power is 64,

7.9m and 4.3°

step-by-step explanation:

let east be +x and north be +y, x = distance * cos θ, y = distance * sin θ  

for 3.5 south, y = -3.5  

for 8.2, x = 8.2 * cos 30 and y = 8.2 * sin 30  

for 15 west, x = -15  

total x = 8.2 * cos 30 – 15 ≈ -7.9  

total y = -3.5 + 8.2 * sin 30 = 0.6  

magnitude = [(8.2 * cos 30 – 15)^2 + 0.6^2)]^0.5  

the magnitude is approximately 7.9 m  

tan θ = y/x = 0.6/-7.9  

the angle is approximately 4.3˚ north of west