Answer:
side c = 10.72 = Opposite
side d = 14.66 = Hypotenuse
Side 10 = Adjacent side
Step-by-step explanation:
The given sides are given from the triangle;
Adjacent = 10
Angle of elevation = 47degrees
Required
Opposite = c
Hypotenuse = d
Using the SOH CAH TOA identity;
Tan theta = opposite/adjacent
Tan 47 = c/10
c = 10tan47
c = 10(1.0724)
c = 10.72
hence side c = 10.72 = Opposite
Similarly;
Cos theta = adjacent/Hypotenuse
Cos 47 = 10/d
d = 10/Cos47
d = 10/0.6819
d = 14.66
Hence Side d = 14.66 = Hypotenuse