Question

Two spotlights, one blue and the other white, are placed 6 m apart on a track on the ceiling of a ballroom. An observer standing on the ballroom floor sees that the angle of elevation is 45 degrees to the blue spotlight and to degrees to the white one. How high is the ceiling of the ballroom?

Please help, I have no clue what to do!
Thanks

Answer 1

check your typing.

How many degrees to the white light?

Answer 2

oh sorry 70 degrees to the white one

Answer 3

I made a triangle with B as the blue light, W as the white light, the P for the person on the floor.
BW = 6, angle WBP=45º , angle BWP = 110º, then angle BPW = 25º
by the Sine Law
WP/sin45 = 6/sin25
WP = 10.04

now construct a rightangled triangle with WP as the hypotenuse and h as the height from P to the ceiling.
then sin 70 = h/10.04
h = 9.4 m