The measure of angle theta is 30 degrees.
This is a 30-60-90 triangle where the short leg is half that of the hypotenuse. The short leg is opposite the smallest angle 30 degrees.
You can use trig to find that
sin(angle) = opposite/hypotenuse
sin(theta) = 5/10
sin(theta) = 0.5
theta = arcsin(0.5)
theta = 30 degrees
Answer:
vertex=(1,-3)
y-intercept=(0,-2)
x-intercept=(1,+\sqrt{3},0)
axis of symmetry= 1
Total ratio = 2 + 1 = 3
Number of men = 2/ 3 × 24
=16
Therefore, 16 men are using the gym
The answer is 15.14
1 gallon = 4 quarts
1 gallon = 3.785 liters
16 quarts = 4 gallons
4 x 3.785 = 15.14
