Sam is standing on a city street looking up at the top of a building that is 700 feet
tall. The angle of elevation between Sam's
line of sight and the horizontal is 74°. His
eyes are about 5 ft above the ground. To
the nearest foot, how far is Sam from the
base of the building?

step-by-step explanation:

we are given

since, we have to isolate x on anyone side

so, we can move all x terms on one side

subtract both sides by 2x

add both sides by 9

divide both sides by 4

we get

c.   x=2.4cm

step-by-step explanation:

similar triangles are triangles which have the same shape but not the same size. this means their angle measures are equal but their side lengths are not instead they are proportional. to solve, we will set up a proportion and solve.

a proportion is two equal ratios set equal to each other. we form the ratios by finding corresponding sides (sides which match to each other on both triangles by their position). out ratios will be one side of the small triangle over the corresponding side on the big triangle as shown below:

.

to solve the proportion, we'll cross multiply by multiplying numerator with denominator across the equal sign.

8

step-by-step explanation:

just put √(2) * √(32) into a calculator. that will make the answer be 8.