trig and geometry
posted by joey on .
bernhardt and julia are observing an eagles nest in a tree. Julia is 75m from the tree, and sees it at an angle of elevation of 42 degrees
A)How high up the tree is the nest
B)Bernhardt is standing 30m behind julia. At what angle of elevation does he see the nest?

A )
tan ( 42 ° ) = H / 75
H = 75 tan 42 °
H = 75 * 0.9004
H = 67.53 m
B )
tan ( theta ) = H / ( 75 + 30 )
tan ( theta ) = H / 105
tan ( theta ) = 67.53 / 105
tan ( theta ) = 0.643143
theta = 32 ° 44 ' 49 "