Answer:
QS = 15
Step-by-step explanation:
Thales
QS/QT = RS/PT
QS = QT·RS/PT
= 20×12/16
= 240/16
= 15
Answer/Step-by-step explanation:
✔️Using trigonometric ratio, find b:
Reference angle = 45
opposite = 8
Hypotenuse = b
Thus,
Sin(45) = 8/b
b = 8/sin(45)
b = 8/(1/√2) (sin 45 = 1/√2)
b = 8 × √2/1
b = 8√2
✔️Find a using trigonometric ratio:
Reference angle = 60°
Hypotenuse = b = 8√2
Adjacent = a
Therefore,
Cos(60) = a/8√2
8√2*cos(60) = a
8√2*½ = a
4√2 = a
a = 4√2
✔️Find c using Pythagorean Theorem:
c² = b² - a²
c² = (8√2)² - (4√2)²
c² = 128 - 32
c² = 96
c = √96
c = √(16*6)
c = 4√6
Answer:
20√2 meters (approximately 28.28 m)
Step-by-step explanation:
It may help to make a diagram. Because this is a 45 45 90 triangle, you can use those rules to help solve.
So according to the picture you sent the first part is 2(x-8) (x+6)=0 so it’s the first answer. The second part the answer is (8;0) and (-6;0) the last answer in the second frame.
The reason the answer is those is because it’s using coordinates (x;y) and since we were solving for x we got the x coordinates. But since we got the x coordinates our y coordinates will be 0. If the answer was y=8 than out coordinates would be (0;8). Hope this makes sense
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