Question

Given triangle RST, with a right angle at S. Find the side of r if R=37 degrees and s=15.3

Answer 1

To find the side r in triangle RST with angle R = 37 degrees and hypotenuse s = 15.3, use the sine function. The length of side r is approximately 9.2 units.

Step-by-step explanation:

To find the side r of triangle RST where R=37 degrees and s=15.3 (given that it's the hypotenuse), we can use the sine of angle R to find the opposite side, s, when angle S is the right angle. Using the sine function:

• sin(R) = opposite/hypotenuse
• sin(37) = r/15.3

We calculate r as follows:

1. sin(37) ≈ 0.6018
2. 0.6018 = r/15.3
3. r = 0.6018 × 15.3
4. r ≈ 9.2

The length of side r is approximately 9.2 units.