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LUCKY_DIMON [66]
3 years ago
15

Solve |x| + 7 < 4. ........................

Mathematics
1 answer:
Fynjy0 [20]3 years ago
8 0
Hello : 
<span>|x| + 7 < 4.
</span><span>|x| < 4.-7
</span>|x| < -3
 no reals solutions  because for all reals x :  |x| <span>≥ 0</span> 

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Wendy is standing 60 feet away from a tree. Her eyes are 5 feet above the ground. She sees a bird hovering above a tree. The ang
Gennadij [26K]

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.

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<u>For bird</u>

Let y be the height of the bird in the air

tan(37) = \frac{y}{60} \\\\60 tan(37) = y\\\\y = 45.2 feet

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Since, Wendy's eyes are 5 feet above the ground, the height of the tree becomes

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To know how far above the tree that bird is

50 - 33 = 17 feet

Therefore, the bird is 17 feet above the tree.

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