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nata0808 [166]
2 years ago
9

Charlie is standing 45 feet from the base of 100 foot tall tree. What is the angle of elevation from him to the kite stuck on to

p of the tree.

Mathematics
1 answer:
galben [10]2 years ago
5 0
Hey. Let me help you on this one.

In order for us to solve this problem easier, let's break it apart. We can also graph the triangle so we get visual of this problem.

I drew a quick graph for you to easier understand this question. As you can see, Charlie is standing below the tree 45 feet from it, and we need to find the unknown angle measure.

Let's form a SOHCAHTOA function which you have probably already learned in your Geometry course.

First of all let's identify our sides. The side opposite of the right triangle is a Hypotenuse, and the side that's 45 feet is adjacent, since it's adjacent to the unknown angle.

We know that we need to use Cos (Cosine) with negative power to it in order to solve this question, since we are looking for the unknown angle measure.

Let's form the function which Cos, Hypotenuse, and Adjacent side.

Cos^{-1} =45/100

Now, let's solve the left part of this function


Cos^{-1} =0.45

Awesome. You will need to use your calculator for this part. Find the value of 0.45 when negative Cosine is used on it.

Cos^{-1} =0.45
63.25631605

Awesome. Let's round this number to the closest tenth

63.3 is the rounded value we have discussed below.

Answer: 63.3 degrees is the unknown measure of the angle

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Consider the equation x^2-7x-8=0 and describe it's roots​
statuscvo [17]

Answer:

there are two different, real roots.  

Step-by-step explanation:

The coefficients of this quadratic are {1, -7, -8}.  Let's find the discriminant, b^2 - 4ac.  In this case a = 1, b = -7 and c = -8 and so the discriminant value is

(-7)^2 - 4(1)(-8), or 49 + 32, or 81.

Because the discriminant is positive, we know immediately that there are two different, real roots.  

We are not asked to find the roots, but let's do it anyway:

      -(-7) ± √81

x = ------------------ => x = 8 and x = -2 (which are real and different from

              2                                           one another).

3 0
3 years ago
the pathway of sams dive into the swimming pool can be represented by the equation h=-16t²+15t+12 (where t=time in seconds and h
aliya0001 [1]

Given the equation representing the pathway of sam's dive into the swimming pool, his height after two seconds is -22ft.

<h3>What is a Quadratic Equation?</h3>

Quadratic equation is simply an algebraic expression of the second degree in x. Quadratic equation in its standard form is;

ax² + bx + c = 0

Where x is the unknown

Given the data in the question

  • Equation of the pathway of sams dive into the swimming pool is h = -16t² + 15t + 12.
  • Time t = 2.0 seconds
  • Height h = ?

Now, to get the height after 2 seconds, we substitute 2 for t in the equation.

h = -16t² + 15t + 12.

If t = 2

h = -16(2)² + 15(2) + 12

h = -16(4) + 30 + 12

h = -64 + 30 + 12

h = -64 + 42

h = -22ft

Therefore, given the equation representing the pathway of sam's dive into the swimming pool, his height after two seconds is -22ft.

Learn more about quadratic equations here: brainly.com/question/1863222

#SPJ1

5 0
2 years ago
A robot can complete 4 tasks in 5/6
atroni [7]
I am the goddes of the air pods and the books of the laptops
4 0
3 years ago
X over 7+4 is greater than or equal to 16
Blizzard [7]

X/11>=16

X>=16x11

X>=176

5 0
3 years ago
One cup of​ grated, fresh Parmesan cheese weighs 3 ounces. How many cups of grated cheese can you expect to get from a​ 4.5-poun
Ksenya-84 [330]

Answer:

9 cups

Step-by-step explanation:

If one pound is equal to 2 cups, then you would multiply 2 by 4, which gives you 8. If one pound equals 2 cups, then half a pound equals 1 cup. So since we already have 8 cups, you just add one more cup, which gives you 9 cups total

SUMMARY: You can expect to get 9 cups of grated parmesan cheese from a 4.5-pound block.

5 0
2 years ago
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