Question

Two birds sit at the top of two different trees. The distance between the first bird and a bird-watcher on the ground is 14.1 feet. The distance between the bird-watcher and the second bird is 27.9 feet.

What is the angle measure, or angle of depression, between this bird and the bird-watcher?

Two trees that are 14 point 1 feet tall with a bird on top of each. Distance between the birds is unknown. Angle of depression between birdwatcher and first bird is 27 point 9 feet.
© 2013 Jupiter Images Corporation

30.4

59.6

63.2

87.9

Answer 1

lets use some trig

SOH CAH TOA

sin x = 14.1/27.9

Answer 2

to do this one, we need to know some trig functions
we need angle x
now, we are given the hypotenuse length
and the leg opposite to angle
x

Answer 3

so .5?

Answer 4

yeah but i wouldn't round yet because we still have to take inverse sin to find angle

Answer 5

well i don't know how i'd calculate a number that long?

Answer 6

just enter it in your calculator

sin^-1 (14.1/27.9)

put it in degree mode

Answer 7

okay hold on

Answer 8

how do i put my calc in degree mode?

Answer 9

but for the answer i got 30.35633811

Answer 10

depends on the calculator...if i was there id show you :)

Answer 11

yep

Answer 12

so is that all you do to solve this?

Answer 13

yes

Answer 14

thank you so much!