Answer:
The answer is below
Step-by-step explanation:
θ = 90° - 42° = 48°
The angle formed is a right angled triangle, therefore trigonometric identities can be used to find the length of the triangle sides.
tan(θ) = opposite / adjacent
tan(48) = 80 / h
h = 80 / tan(48)
h = 72.03 ft
h is the vertical distance from carl to the top of his house, to get his total height to the ground (H), we use:
H = h + height of house
H = 72.03 + 20
H = 92.03 ft
Therefore Carl is 92.03 ft high
