Answer:
cos∠ABC = 12/15 = 0.80
tan∠ABC = 9/12 = 0.75
sin∠ACB = 12/15 = 0.80
cos∠ACB = 9/15 = 0.60
tan∠ACB = 12/9 = 1 1/3
Step-by-step explanation:
Find the Adjacent, Opposite, or Hypotenuse angles to the angles in the picture and fill them into the given fraction.
cos∠ABC = Adjacent/Hypotenuse = 12/15 = 4/5 = 0.80
tan∠ABC = Opposite/Adjacent = 9/12 = 3/4 = 0.75
sin∠ACB = Opposite/Hypotenuse = 12/15 = 4/5 = 0.80
cos∠ACB = Adjacent/Hypotenuse = 9/15 = 3/5 = 0.60
tan∠ACB = Opposite/Adjacent = 12/9 = 1 1/3 (1 1/3 in decimal form is 1.3 with a line on top of 3 (Bar on top of 3))
You formed a right-angled triangle. I drew this out at first, but you can double check it as 579² + 772² = 965², which is the rule for a right-angled triangle. I hope this helps!
Answer:
See explanation
Step-by-step explanation:
We want to verify that:

Verifying from left, we have

Expand the perfect square in the right:

We expand to get:

We simplify to get:

Cancel common factors:

This finally gives:

Answer:
h = 64 feet
Step-by-step explanation:
If you graph the function you see that 64 feet is the maximum of the parabola so this is the max height that the projectile reaches.
Answer:

Step-by-step explanation:
you can divide both sides by 2.35 to get the right side to be 1:
