The measurement of angle P in the diagram given in the question is 61.93 °
Trigonometric ratios
The trigonometric ratios which has been proven as regarding right angle triangles are given below:
Sine θ = Opposite / Hypothenus
Cos θ = Adjacent / Hypothenus
Tan θ = Opposite / Adjacent
With above information in mind, we can easily determine the value of angle P in the question. This is illustrated below:
How to determine the value of angle P
From the question given above, the following data were obtained:
- Hypothenus = 17 cm
- Opposite = 15 cm
- Adjacent = 8 cm
- Angle P =?
Sine θ = Opposite / Hypothenus
Sine P = 15 / 17
Sine P = 0.8824
Take the inverse of sine
P = Sine⁻¹ 0.8824
P = 61.93 °
Thus, the value of angle P in the diagram is 61.93 °
Learn more about trigonometric ratios:
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