Questions: Right Triangle Trigonometry Suppose π/2 ≤ θ ≤ π and we obtain the following right triangle: Compute sin(θ). with a=21, b=20, and c=29. 20/21 -20/21 21/20 -21/20 20/29 -20/29 29/20 -29/20 21/29 -21/29 29/21 -29/21

Right Triangle Trigonometry
Suppose π/2 ≤ θ ≤ π and we obtain the following right triangle:
Compute sin(θ).
with a=21, b=20, and c=29.
20/21
-20/21
21/20
-21/20
20/29
-20/29
29/20
-29/20
21/29
-21/29
29/21
-29/21

Transcript text: Right Triangle Trigonometry Suppose $\frac{\pi}{2} \leq \theta \leq \pi$ and we obtain the following right triangle: Compute $\sin (\theta)$. with $a=21, b=20$, and $c=29$. $\frac{20}{21}$ $-\frac{20}{21}$ $\frac{21}{20}$ $-\frac{21}{20}$ $\frac{20}{29}$ $-\frac{20}{29}$ $\frac{29}{20}$ $-\frac{29}{20}$ $\frac{21}{29}$ $-\frac{21}{29}$ $\frac{29}{21}$ $-\frac{29}{21}$

Solution

Solution Steps

Step 1: Identify the given values

We are given a right triangle with:

$ a = 21 $
$ b = 20 $
$ c = 29 $

Step 2: Recall the definition of sine

The sine of an angle in a right triangle is defined as the ratio of the length of the opposite side to the hypotenuse. For angle $ \theta $: \[ \sin(\theta) = \frac{\text{opposite}}{\text{hypotenuse}} \]

Step 3: Apply the sine definition

For angle $ \theta $ in the given triangle: