Posted by K.C on .
A photogrpaher points a camera at a windows in a nearby building forming an angle of 42 degrees with the camera platform. If the camera is 52 meters from the building , how high above the platform is the window, to the nearest hundreth of a meter.
The answer is 46.82m, i would like to the steps/work for getting this answer...thanks in advance

PreCalculus 
Henry,
Draw a rt triangle and label the hor side 52m. Label the ver side h; and
label the angle between the hor side
and hyp. 42 deg.
tan42 = h/52,
Cross multiply:
h = 52*tan42 = 46.82m.