Hiked 3 5/6 miles and 2 1/2 miles on Saturday. Hiked 1 1/3 miles on Sunday. How many more miles to hike for a 10 mile hike

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

3 years ago

The measures of two pairs of corresponding angles of two triangles are 24 degrees and 55 degrees. Explain why the two triangles

Ivanshal [37]

Answer:

Are the two triangles below similar?

Triangles ABC and DEF are shown. Angle A measure 30 degrees, angle C measure 65 degrees, side AC measures 14, side AB measures

Yes, because there are two pairs of congruent corresponding angles

No, because there are not two pairs of congruent corresponding angles

Yes, because the corresponding sides are proportional

No, because the corresponding sides are not proportional

7 0

3 years ago

Square the Monomials (-7a^3b^5)^2 - (9a^4bc)^2

Law Incorporation [45]

Answer:

1. 49a^6b^10

2. −81a^8b^2c^2

Step-by-step explanation:

N/A

3 0

2 years ago

Create your own equation

guapka [62]

Answer:

45+20=65

21+33=54

90+10=100

100+30= 130

Step-by-step explanation:

45+20=65

Doesn't belong as it has an odd numbered answer where as all the others have even answers

HOPE THIS HELPS

6 0

3 years ago

The admission fee is $1.50 for children and $4.00 for adults. If 2700 people enter and $7800 is collected how many children and

Snowcat [4.5K]

Answer:

1200 children and 1500 Adults

Step-by-step explanation:

Suppose x be the children and y be the adults as total people are 2700 that have entered so we can write an equation as

x+y=2700 (Equation 1)

and as per child $1.50 is the cost and $4 for every adult and collectively we have got $7800 so we can write the equation as

1.50x+4y=7800 (Equation 2)

Extracting the value of y from equation 1

Y=2700-x (Equation 3)

Putting the value of y from equation 3 into equation 2

1.50x+4(2700-x)=7800

1.50x+10800-4x=7800

1.50x-4x=7800-10800

-2.5x=-3000

Cancellation of negative signs on both sides

x=3000/2.5

x=1200

Putting the value of x in equation 3 to get the value of y

y=2700-1200

y=1500

5 0

3 years ago