Answer: The formula for calculating the circumference is C = pie(d)
or you could also use C = 2(pi)r squared.
Answer: The mat is 4.33 ft high off the ground.
Step-by-step explanation:
Since we have given that
Angle of elevation with the first triangle = 30°
Angle of elevation with the second triangle = 60°
Length at which gymnastics mat extends across the floor = 5 feet
so, As shown in the figure:
We need to find the height of the mat off the ground.
If CD = 5 ft,
Let, AB = y, DC = x.
In Δ ABC,

Similarly, in Δ ACD,

Hence, the mat is 4.33 ft high off the ground.
First find the value of h, or the height using the pythagorean theorem.
13^2=15^2+h^2
289=225+h^2
h^2=64
h=8
Then use the formula bh/2 to find area of the triangle.
10*8/2=40
Final answer: A
Answer: x = 5y - 100
Step-by-step explanation: