In triangle Park, P=83°,p=285cm,r=216cm.Calculate R
We can use the law of sines to solve this problem.
The law of sines states that in any triangle, the ratio of the length of a side to the sine of its opposite angle is the same for all three sides and angles.
In triangle Park, we have the following information:
Angle P = 83°
Side p = 285 cm
Side r = 216 cm
Let's use the law of sines to find side R:
sin(P)/R = sin(p)/P
sin(83°)/R = sin(285 cm)/83°
R = (sin(83°) * 285 cm) / sin(285 cm) ≈ 299.3 cm
Therefore, R is approximately 299.3 cm.
To calculate the length of side R in triangle Park, we can use the Law of Sines, which states that the ratio of a side length to the sine of its opposite angle is the same for all sides and their corresponding angles.
The Law of Sines can be written as:
r/sin(R) = p/sin(P)
Given:
P = 83°
p = 285 cm
r = 216 cm
We can rearrange the equation to solve for R:
sin(R) = r * sin(P) / p
Substitute the given values:
sin(R) = 216 * sin(83°) / 285
Now, we need to solve for sin(R). To do this, we can take the inverse sine (sin^(-1)) of both sides of the equation:
R = sin^(-1) (216 * sin(83°) / 285)
Using a calculator, we find that sin^(-1) (216 * sin(83°) / 285) ≈ 53.42°
Therefore, the length of side R in triangle Park is approximately 53.42°.