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klio [65]
2 years ago
15

From the diagram below, if the tree is 34 ft. tall, and the angle of elevation from point B to the top of the tree is 26 °, find

the distance that the tree is from point B. (Round to the nearest whole foot.)
Mathematics
1 answer:
lana66690 [7]2 years ago
3 0

Given the height of the tree and the angle of elevation from point B, the distance between the tree is from point B is approximately 70ft.

<h3>What is the distance between the tree and point B?</h3>

Given the data in the question;

  • Height of tree opposite angle of elevation = 34ft
  • Angle of elevation θ = 26°
  • Distance between tree and point B| Adjacent = ?

Since the scenario form a right angle triangle, we use trig ratio.

tanθ = Opposite / Adjacent

tan( 26° ) = 34ft / x

We solve for x
x = 34ft / tan( 26° )

x = 34ft / 0.4877

x = 70ft

Given the height of the tree and the angle of elevation from point B, the distance between the tree is from point B is approximately 70ft.

Learn more about trigonometric ratio here: brainly.com/question/28038732

#SPJ1

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The volume of a volleyball is about 288 cubic inches. what is the radius of the volleyball, to the nearest tenth of an inch? use
Len [333]

Answer:

The radius of the volleyball is 8.3 inches

Step-by-step explanation:

Given

r = \sqrt{\frac{3v}{4\pi}}

v = 288

Required

Determine the value of r

To do this, we simply substitute 288 for v and 3.14 for π in the given equation.

This gives

r = \sqrt{\frac{3v}{4\pi}}

r = \sqrt{\frac{3 * 288}{4 * 3.14}}

r = \sqrt{\frac{864}{12.56}}

r = \sqrt{68.7898089172}

r = 8.29396219651

r = 8.3\ inch (Approximated)

Hence;

<em>The radius of the volleyball is 8.3 inches</em>

3 0
3 years ago
Read 2 more answers
There are 4 consecutive integers that have a sum of 34. What are the integers
Rudiy27

Answer:

consider integer are x, x+1, x+2, x+3

now x+(x+1) + (x+2) + (x+3) = 34

or, 4x + 6 = 34

or, 4x =28

x= 7

x =7

x+1 = 7+1 =8

x+2= 7+2=9

x+3= 7+3 =10

8 0
3 years ago
The area of a square is 5 far more than the perimeter. Find the length of a side.
sweet [91]

The length of a side of square is 5.

Step-by-step explanation:

Given,

Area of square = a²

Perimeter of square = 4a

According to given statement;

Area of square = Perimeter + 5

a^2=4a+5\\a^2-4a-5=0

Factorizing the equation;

a^2-5a+a-5=0\\a(a-5)+1(a-5)=0\\(a-5)(a+1)=0

Either,

a-5=0         => a=5

Or,

a+1=0         => a= -1

As length of a side cannot be negative, therefore,

Length of a side of square = 5

The length of a side of square is 5.

Keywords: area, perimeter

Learn more about perimeter at:

  • brainly.com/question/11016712
  • brainly.com/question/11108818

#LearnwithBrainly

3 0
4 years ago
3. f(x) = – 2 x + 1
KATRIN_1 [288]

Answer:

The quadratic x2 − 5x + 6 factors as (x − 2)(x − 3). Hence the equation x2 − 5x + 6 = 0

has solutions x = 2 and x = 3.

Similarly we can factor the cubic x3 − 6x2 + 11x − 6 as (x − 1)(x − 2)(x − 3), which enables us to show that the solutions of x3 − 6x2 + 11x − 6 = 0 are x = 1, x = 2 or x = 3. In this module we will see how to arrive at this factorisation.

Polynomials in many respects behave like whole numbers or the integers. We can add, subtract and multiply two or more polynomials together to obtain another polynomial. Just as we can divide one whole number by another, producing a quotient and remainder, we can divide one polynomial by another and obtain a quotient and remainder, which are also polynomials.

A quadratic equation of the form ax2 + bx + c has either 0, 1 or 2 solutions, depending on whether the discriminant is negative, zero or positive. The number of solutions of the this equation assisted us in drawing the graph of the quadratic function y = ax2 + bx + c. Similarly, information about the roots of a polynomial equation enables us to give a rough sketch of the corresponding polynomial function.

As well as being intrinsically interesting objects, polynomials have important applications in the real world. One such application to error-correcting codes is discussed in the Appendix to this module.

8 0
2 years ago
Read 2 more answers
HELP ME ASAP!!! PLEASE FAST!
ryzh [129]
Blank #1 is 0.67 and Blank #2 is 13.3. I am not sure about Blank #3. Here is a tip: Mean absolute deviation is the average of the absolute deviations. Tell me if I am right ok?
7 0
3 years ago
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