A. s.a.!

the pythagorean theorem
right triangle trigonometry.

a painter leans a 15 ft ladder against a building. the base of the ladder is 6 ft from the building. to the nearest foot, how high on the building does the ladder reach?

a.) 16 ft

b.) 18 ft

c.) 9 ft

d.) 14 ft

Hello from MrBillDoesMath!

Choice D, 14 ft.

Discussion:

From the Pythagorean thereon, where "h" is how high on the building the ladder reaches,

6^2 + h^2 = 15^2          =>  as 6^2 = 36 and 15^2 = 225

36 + h^2   = 225           =>  subtract 36 from both sides

h^2            = 225 - 36   => as 225 - 36 = 189

h^2  = 189                      => take square roots of both sides

h =  13.747  ( approximately)

which rounded to the nearest foot is 14 feet. That is Choice D.

Thank you,

MrB

the figures below are made out of circles, semicircles, quarter … find the area and the perimeter of each figure and give your answers as a completely simplified exact value in terms of π (no approximations). remember that we'll also have to cut whatever areas we get in half, since we're only dealing im pretty sure that is the right answer

step-by-step explanation: