Question

Need help with Trigonometry!

Answer 1

h = 109.9 in

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 = (h)/(40)`

`2.7475 = (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)