Question

Need help with Trigonometry!

Answer 1

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,

$tan 70 = \frac{h}{40}$

$2.7475 = \frac{h}{40}$

Multiply both sides by 40 to solve for h

$40*2.7475 = h$

h = 109.9 inches

The height of the lamppost = h = 109.9 inches (to nearest tenth)