Question

What is it? What is the answer?

Answer 1

43.5m

Explanation:

In triangles ABC and BCD, the common side is the adjacent side BC.

BD= 50 -1.5

BD= 48.5m

Triangle BCD

opp= BD= 48.5m

θ= 37°

`\boxed{tanθ = (opp)/(adj) }`

`tan37° = (48.5)/(BC)`

BC= 48.5 tan37°

BC= 36.547m (5 s.f.)

Triangle ABC

adj= BC= 36.547m

θ= 49°

`\tan49° = (AB)/(BC)`

AB= BC tan49°

AB= 36.548 tan49°

AB= 42.044m (5 s.f.)

Height of tower

= AB +1.5

= 42.044 +1.5

= 43.5m (nearest tenth)