John wants to measure the height of a tree. His eye level is 6 feet from the ground. He walks exactly 100 ft from the base of the tree and looks up. The angle from the Johns eye level to the top of the tree is 33º. How tall is the tree?

70.9 feets

Step-by-step explanation:

From trigonometry:

tan θ = opposite /Adjacent

Opposite = tree height, y

Adjacent = vertical distance between eyelevel and tree

tan 33º = y/100

y = 100 * tan 33º

y = 100 * 0.6494075

y = 64.9 feets

Distance between John's eye level and the ground = 6 feets

Total tree height = 6 + 64.9 = 70.9 feets

answer: bearing in mind that a rectangle has a perimeter of length + length + width + width.

step-by-step explanation:

p = perimeter

l = length

x=width

p = 2l + 2x

p = 2(l+x)     < ==== perimeter of the base of the box.

168

step-by-step explanation:

first off, we know that he drove 3.5 hours at a rate of 48 mph.

knowing that, we want to see how many miles he drove all-together.

in this case, we can just multiply 48 by 3.5.

48 * 3.5 = 168