Find the missing side:
2 answers:
Answer:
c = 10.29417310909429
[c = 10.29 (rounded)]
Step-by-step explanation:
In a right triangle, there is a specific method to find a missing side. The two straight edges (that make up the 90-degree corner) can be called leg a and leg b. The longer side, which is called the hypotenuse, can also be called c.
(leg / side)
The relation between these sides is that:
a² + b² = c²
This is called the Pythagorean theorem.
For your triangle, leg a is 6.6, and leg b is 7.9, and the missing side (x) will be represented as c
6.6² + 7.9² = c²
43.56 + 62.41 = c²
105.97 = c²
10.29417310909429 = c
c = 10.29417310909429
c = 10.29 (rounded)
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A) 436 ft
B) t = 5 sec
C) 5.60 s
Step-by-step explanation:
A)
The height of the ball at time t is given by the equation
where
is the acceleration of the ball (acceleration of gravity, downward)
+500 is the initial height of the ball, at time t = 0
Here we want to find the height of the ball after 2 seconds, so at a time of
t = 2 s
Substituting into the equation, we find:
B)
Here we want to find the time it takes for the ball to fall to a height of 100 feet above the ground, so the time t at which
h(t) = 100 ft
As stated in the text of the question, the height of the ball at time t is given by
Since
h(t) = 100, we have
And solving for t we find:
So, the correct solution is the positive one:
t = 5 sec
C)
The ball reaches the ground when the height of the ball has became zero:
The height of the ball at time t is given by
And substituting
h(t) = 0
We get
And solving the equation for t, we find the time t at which the ball reaches the ground:
So, the correct solution is the positive one:
t = 5.60 s