The jacksons , chens, and simms each went on vacation. the jackson drove 835 miles. the simms drove 947 miles and the chens drove 100 miles further than the jacksons which family drove the futhest on vacation?

The given distance driven  by each family on vacation is-

The Jacksons drove 835 miles.

The Simms drove 947 miles.

The Chens drove 100 miles further than the Jacksons that is they drove 935 miles.

Now comparing all three distances, we get 947 miles as the highest distance driven.

Hence the Simms drove the longest distance.

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