What if you dont have a median in the lower and upper quartile on a number line?
1 answer:
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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:
135 units²
Step-by-step explanation:
The area (A) of a parallelogram is calculated as
A = bh ( b is the base and h the perpendicular height )
To calculate h use Pythagoras' identity on the right triangle on the left
h² + 8² = 17²
h² + 64 = 289 ( subtract 64 from both sides )
h² = 225 ( take the square root of both sides )
h = = 15 , thus
A = 9 × 15 = 135 units²