Question

If the reference angle is 47° label the sides accordingly:

Answer 1

Side C: Adjacent

Side D: Hypotenuse

Side length of 10 units: Opposite

Answer 2

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