A helicopter is flying at an altitude of 155 meters, at an angle of depression of 26° to its landing pad. What is the distance d between the helicopter and the landing pad? Round your answer to the nearest whole number.

536

step-by-step explanation:

translate k to n and reflect across the line containing jk.

a

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