help with trig question, I can't figure d or c

[acrhie]

Dillon and Eugene are both looking at a tower of height 35 metres. Dillon is standing due south of the tower and he measures the angle of elevation from the ground to the top of the tower to be 15°. Eugene is standing due east of the tower and he measures the angle of elevation from the ground to the top of the tower to be 20°. Find, correct to one decimal place:
a the distance Dillon is from the foot of the tower
b the distance Eugene is from the foot of the tower
c the distance between Dillon and Eugene
d the bearing of Dillon from Eugene

 

[skeeter]

Of course, I’m sure you’ve made a sketch or sketches for this problem, correct?

for (c) ... how about using Pythagoras with the horizontal distances found in (a) and (b) ?

for (d) ... I assume the problem wants the bearing measured clockwise from due North. Let Dillon be at point D, Eugene at point E, and the base of the tower at point T.
Use the tangent ratio to determine angle TED and subtract the result from 270 degrees.