PLEASE HELP Emir is standing in a treehouse and looking down at a swingset in the yard next door. The angle of depression from Emir's eyeline to the swingset is 30.26°, and Emir is 14 feet from the ground. How many feet is the treehouse from the swingset? Round your answer to the nearest foot.

15 feet

20 feet

18 feet

24 feet

24 Feets

Step-by-step explanation:

Using the diagram of the sketch illustrated in the attachment :

θ = 30.26°

Height(h) of tree house = 14 feets

Distance of treehouse to swingset = d

Using Pythagoras rule :

Tanθ = opposite / Adjacent

Opposite  = 14 feets

Adjacent = d

Tan30.26° = 14 / r

0.5834166 = 14 / r

0.5834166 * r = 14

r = 14 / 0.5834166

r  = 23.996571 Feets

r = 24 Feets (nearest whole number )

(sin 42)/31. = sinx)/37

sinx = 37 (sin42)/31

= 37× 0.66/31 = 0.787

x= 51.9

other angle opposite to y = 180-51.9-42

= 180- 93.9 =86.1

so

sin42)/31 = sin 86.1)/y

0.021 = 0.997 /y

y= 0.997/0.021 =47.47

no

step-by-step explanation:

answer