5. MP Model with Mathematics Refer to the graphic novel frame below. The table shows possible dimensions for the dunk tank.
We only
have
160 square
Length(ft) Width(ft) Height(ft)
2
12 4
4
4
8
4
6
8
5
4
10
4
3
Surface
Area (ft)
136
144
feet of metal
sheeting.
160
144
124
a. Find the volume of each given dunk tank.
b. Which dimensions are reasonable for a dunk tank? Explain.

your answer would be 10x - 1

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