Two spruce trees are different heights and 100m apart. from the point on the ground
exactly halfway between the trees, the angles of elevation to the tops of the trees are
21° and 39º.
a. draw a diagram with appropriate labels [1 mark]

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

step-by-step explanation:

; fx

44

step-by-step explanation:

the