Answer:
h = 109.9 in
Step-by-step explanation:
The above question can be solved using trigonometric ratio formula,
tan θ = opposite/adjacent
tan θ = tan 70° ≈ 2.7475
opposite = height of lamppost = h in
Adjacent = 40 in
Thus,
[tex] tan 70 = \frac{h}{40} [/tex]
[tex] 2.7475 = \frac{h}{40} [/tex]
Multiply both sides by 40 to solve for h
[tex] 40*2.7475 = h [/tex]
h = 109.9 inches
The height of the lamppost = h = 109.9 inches (to nearest tenth)
