I will try 27 * a*9 b*6 c*3 i hope that helps
Answer:
a = 3,137
Step-by-step explanation:
We have to use the sin rule to solve. THis gives ratios of side and opposite side's angle's sin.
Sin rule is:
![\frac{a}{SinA}=\frac{b}{SinB}=\frac{c}{SinC}](https://tex.z-dn.net/?f=%5Cfrac%7Ba%7D%7BSinA%7D%3D%5Cfrac%7Bb%7D%7BSinB%7D%3D%5Cfrac%7Bc%7D%7BSinC%7D)
First, we know there are 180 degrees in 3 angles of a triangle, so lets find ∠A:
∠A + ∠B + ∠C = 180
∠A + 11 + 75 = 180
∠A + 86 = 180
∠A = 180 - 86
∠A = 94
Now since we know the angle B and side b pair, we can relate with a and write the sin rule as:
![\frac{a}{SinA}=\frac{b}{SinB}\\\frac{a}{Sin94}=\frac{600}{Sin11}](https://tex.z-dn.net/?f=%5Cfrac%7Ba%7D%7BSinA%7D%3D%5Cfrac%7Bb%7D%7BSinB%7D%5C%5C%5Cfrac%7Ba%7D%7BSin94%7D%3D%5Cfrac%7B600%7D%7BSin11%7D)
Now we cross multiply and solve for side a:
![\frac{a}{Sin94}=\frac{600}{Sin11}\\aSin11=600Sin94\\a=\frac{600Sin94}{Sin11}\\a=3137](https://tex.z-dn.net/?f=%5Cfrac%7Ba%7D%7BSin94%7D%3D%5Cfrac%7B600%7D%7BSin11%7D%5C%5CaSin11%3D600Sin94%5C%5Ca%3D%5Cfrac%7B600Sin94%7D%7BSin11%7D%5C%5Ca%3D3137)
So last answer choice is right, a = 3137
3/5a = 1/4....multiply both sides by 5/3, cancelling out the 3/5 on the left
a = 1/4 * 5/3
a = 5/12
They add up to 90 and their difference = 2 ( also even)
So the measures of the angles are 44 and 46.
What is a spotter and you give no numbers or diagram