Question

Challenge #2bUse your measuring devices and right angletrigonometry to calculate the height of this triangle.Number of tries #2a: 0Number of tries #2b: 0Your answersOrange angle53Width of triangleHeight of triangleLength of hypotenuseCheck my answer530.6 m

Answer 1

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

`\tan =\frac{Opposite\text{ leg}}{\text{Adjacent leg}}\Longrightarrow\text{ }\tan (53)\text{ = }(Height)/(3)`

`3\cdot\text{ }\tan (53)\text{ = }(Height)/(3)\cdot3\Longrightarrow\text{ Multiplication property of equality}`

`3\cdot\text{ }\tan (53)\text{ = Height}`

Answer:

3.9811 m