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What is the measure of angle P?
17 cm
8 cm
Enter your answer as a decimal in the box. Round only your final
answer to the nearest hundredth.
Q
15 cm
R
mZP
1
2
3 4 5
Answers
Answer:
the measure of angle P is 61.93°
The value of angle P of the triangle ΔPQR is ∠P = 61.93°
What are trigonometric relations?
Trigonometry is the study of the relationships between the angles and the lengths of the sides of triangles
The six trigonometric functions are sin , cos , tan , cosec , sec and cot
Let the angle be θ , such that
sin θ = opposite / hypotenuse
cos θ = adjacent / hypotenuse
tan θ = opposite / adjacent
tan θ = sin θ / cos θ
cosec θ = 1/sin θ
sec θ = 1/cos θ
cot θ = 1/tan θ
Given data ,
Let the triangle be ΔPQR
Let the angle ∠P = θ
Triangle ΔPQR is a right angle triangle
where ∠Q = 90°
Now , the value of the sides are
PQ = 8 cm
QR = 15 cm
PR = 17 cm
Now , from the trigonometric relations
∠QPR = θ
tan θ = opposite side / adjacent side
Opposite side of Triangle PQR is QR
Adjacent side of Triangle PQR is PQ
So , substituting the values in the equation , we get
tan θ = opposite side / adjacent side
tan θ = QR / PQ
tan θ = 15 / 8
tan θ = 1.875
Now , the value of θ is
The value of θ = tan⁻¹ ( 1.875 )
The value of θ = 61.93°
Therefore , the value of θ is 61.93°
Hence , The value of angle P of the triangle ΔPQR is ∠P = 61.93°
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Step-by-step explanation:
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Finding the value of k:The right-angled triangle is one where one of the angles is equal to 90°. The sum of the other 2 aspects is 90°. The perpendicular and the base of the triangle are indeed the sides that include the right angle. The hypotenuse, which would be the longest of the three sides, is the third side.In [tex]\Delta[/tex] ABC
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Step-by-step explanation:
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Step-by-step explanation:
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Question 4
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Answer:
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Step-by-step explanation:
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Answer:
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Given data ,
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Answer:
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