What is 62.713 rounded to the nearest hundredth?

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.

Explanation:

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,

$tan (25) = \frac{x}{60}$

$60 tan(25) = x\\\\x = 27.9 feet$

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

For bird

Let y be the height of the bird in the air

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

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.

3 0

4 years ago

Helppp please I have limited time

Sophie [7]

Answer:

p = T - a - b

Step-by-step explanation:

Hope that helps, not sure if it is correct though.

7 0

3 years ago

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9. For a play at the local high school, the adult

Juli2301 [7.4K]

Answer:

10 adult tickets

and 3 student tickets

4 0

3 years ago

Surveys conducted in American high schools concluded that 90% of the students in a sample of 400 students had more than one acti

kenny6666 [7]

The sample proportion has an approximately normal distribution, with the mean being the population mean and the standard deviation (i.e. the standard error of the sampling proportion) equal to

SE = sqrt(p*q/n) where p is the population proportion q is 1-p, and n is the sample size.

(Typically, for a confkdence interval, the sample proportion and its complement are substituted for p and q.) 

The margin of error will be Zc*SE, where Zc is the critical value of Z for the level of confidence required. The confidence interval, then, will be the sample proportion, plus or minus the margin of error.

For a 90% confidence interval, Zc is 1.645.

So the margin of error is 1.645 * sqrt(.9*.1/400), roughly .025. So your confidence interval would be around [.875, .925]

The best and most correct answer among the choices provided by your question is the second choice or letter C which is 3%.
I hope my answer has come to your help. Thank you for posting your question here in Brainly.

4 0

3 years ago

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The ratio of boys to girls in a class is 4:5 what fraction of the class is boys and what fraction of the class is girls

ale4655 [162]

First, let's start off with the information we already have. Since the ratio is 4 boys to 5 girls, there has to be a minimum of 9 students (4 being boys and 5 being girls).

9 will be the denominator of both of our fractions since the boys and girls are in the same class.

The fraction of boys in the class is 4/9 (since there are 4 boys to 5 girls in a class of 9, we would write 4 over 9) and the fraction of girls in the class is 5/9.

This is a simplified version of the fractions. If this is a multiple-answer question and 4/9 and 5/9 are not up there, try multiplying the fractions with different numbers and see what fractions will be correct.

But either way, 4/9 and 5/9 are correct :)

7 0

3 years ago

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