A rocket is launched into the air with an initial velocity of 90 feet
per second. The function,
h(t)=-166 +90t describes the
height, h(t), of the rockett
seconds after launch. At what
time, t, is the rocket 100 feet
above the ground? Round to
the nearest hundredth.

its kind of blurry. can you put a clearer pic?

step-by-step explanation:

mean, 40.6

step-by-step explanation:

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4

a

step-by-step explanation: