Question

SOH CAH TOA Word Problem Practice 6.) You are standing 50 meters from a hot air balloon that is preparing to take off. The angle of elevation to the top of the balloon is 28". Find the height of the balloon. - What side do you know? (Opp. Adj, or Hyp?) - What side do you have to find? (Opp, Adj, or Hyp?) - What trig ratio can you use? (sin, cos or tan?) What is the answer? ВІ y III ET Τ' Σ

Answer 1

(a) We know adjacent side, because the distance between u and baloon is 50m.

(b) We need to find out Opposite side, which is the height of the baloon.

(c) We will use tan. becase, tan relates between adjacent and opposite sides.

(d) tan(angle) = op/adj

=> tan(28) = opp/50

=> opp = 50*tan(28) = 50*0.5317 = 26.585 m

=> answer = 26.585 m