Question

You are given the right triangle shown. Which of the following equations would be a correct way to solve for the missing information

A. I and then II or III
B. I and II only
C. II or III only
D. You must use all

Answer 1

Option A. I and then II or III

Step-by-step explanation:

From the question given above, the following data were obtained:

Angle = θ

Opposite = 16 m/s

Adjacent = 24 m/s

Hypothenus = v

i. The value of θ can be obtained by using Tan ratio as show below:

Tan θ = Opposite / Adjacent

Opposite = 16 m/s

Adjacent = 24 m/s

Tan θ = 16 / 24

ii. Cos θ = Adjacent /Hypothenus

Adjacent = 24 m/s

Hypothenus = v

Cos θ = 24 / v

Cross multiply

v × Cos θ = 24

Divide both side by Cos θ

v = 24 / Cos θ

iii. Sine θ = Opposite /Hypothenus

Opposite = 16 m/s

Hypothenus = v

Sine θ = 16 / v

Cross multiply

v × Sine θ = 16

Divide both side by Sine θ

v = 16 / Sine θ

From the above illustrations, we can use (i) to obtain θ then we can use (ii) or (iii) to obtain the value of v.