Orange angle = A
SOH ==> Sine = Opossite / Hipothenuse
CAH ==> Cosine = Adjacent / Hipothenuse
TOA ==> Tangent = Opossite/Adjacent
in this case we know the adjacent side to the angle and we want to know the opossite side, so we are going to use TOA:
Tan A = opposite side/adjacent side
[tex]\tan =\frac{Opposite\text{ leg}}{\text{Adjacent leg}}\Longrightarrow\text{ }\tan (53)\text{ = }\frac{Height}{3}[/tex]
[tex]3\cdot\text{ }\tan (53)\text{ = }\frac{Height}{3}\cdot3\Longrightarrow\text{ Multiplication property of equality}[/tex]
[tex]3\cdot\text{ }\tan (53)\text{ = Height}[/tex]
Answer:
3.9811 m
