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

the correct answer is you spend $55.78 more in a brand store that buy ing in a normal store.

step-by-step explanation:

brand = spend   $ 135.85 total

store = spend $80.07 total

3

step-by-step explanation:

in standard form:

a= dictionaries

b= maps

you have to buy 3 dictionaries, so put a 3 next to the a (dictionaries) so that you can multiply them by each other.

a3+b= 60 (the amount of money you have)

we already know the cost of a=15 so replace a with $15

($15 x 3)+b=60

multiply 15 and 3 to get $45 and replace it with $45

45+b=60

and then replace b with 15 to get the total:

45+15=60

that means you have $15 left after buying 3 dictionaries.

15 divided by the cost of a map ($5) equals 3.

so you can buy 3 maps.

sorry if it was confusing!