Marty ate 4/6 of his pizza and Luis ate 5/6 of his pizza. Marty ate more pizza than Luis . How is that possible?
2 answers:
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The bird is 17 feet above the tree.
<u>Explanation:</u>
We need to think of this in terms of right triangles. If Wendy is 60 feet from a tree, the base of the right triangle is 60 feet. The height of the tree is the height of the right triangle. The angle of elevation is the one from the ground at her feet to the top of the tree and then to the bird. Let's start with the top of the tree first.
She's 60 feet away, we have the angle of elevation as 25 degrees, and we are looking for the height of the tree. In regards to the angle, the base of 60 is adjacent, and the height of the tree is opposite. The tangent ratio is height / base.
Let x be the height of the tree.
So,
x is approximately 28 feet
Since, Wendy's eyes are 5 feet above the ground, the height of the tree becomes
28 + 5 = 33 feet
<u>For bird</u>
Let y be the height of the bird in the air
y is approximately 45 feet
Since, Wendy's eyes are 5 feet above the ground, the height of the tree becomes
45 + 5 = 50 feet
To know how far above the tree that bird is
50 - 33 = 17 feet
Therefore, the bird is 17 feet above the tree.
Answer:
C. 31.83 feet.
Step-by-step explanation:
We have been given that Trina has $1000 to purchase an open-top cylindrical dog pen in her backyard. She wants the height of the pen to be 5 feet.
First of all, we will find the surface area of dog pen using surface area of cylinder.
,where,
r = Radius of cylinder,
h = Height of cylinder.
Since the area of each square foot of pen costs $1, so in $1000 Trina can cover an area of 1000 square feet.
Now, we will set the surface area of cylinder equal to 1000 to solve for the radius.
Upon dividing both sides of our equation by 10 pi we will get,
Therefore, the radius of the dog pen is 31.83 feet and option C is the correct choice.