1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
DerKrebs [107]
3 years ago
10

Suppose you're flying a kite, and it gets caught at the top of the tree. You've let out all 100 feet of string for the kite, and

the angle that the string makes with the ground is 75 degrees. Instead of worrying about how to get your kite back, you wonder. How tall is that tree?

Mathematics
2 answers:
12345 [234]3 years ago
6 0
Check the picture below

recall your SOH CAH TOA

\bf in(\theta)=\cfrac{opposite}{hypotenuse}
\qquad \qquad 
% cosine
cos(\theta)=\cfrac{adjacent}{hypotenuse}

\\ \quad \\
% tangent
tan(\theta)=\cfrac{opposite}{adjacent}

we have,
the angle,
the hypotenuse,
we want the opposite side

which of those fellows have only that? ahhhh it has to be Ms Sine,
so let's ask her
\bf sin(\theta)=\cfrac{opposite}{hypotenuse}\implies sin(75^o)=\cfrac{x}{100}\implies 100\cdot sin(75^o)=x

the opposite side "x", is how tall the tree is

when taking the sine function, make sure your calculator is in Degree mode, since the angle is in degrees

hichkok12 [17]3 years ago
5 0
The answer to your problem is x= 96.6 ft
You might be interested in
A shooting star forms a right triangle with the Earth and the Sun, as shown below:
Semmy [17]

I found this!!!!

The scientist can use these two measurements to calculate the distance between the Sun and the shooting star by applying one of the trigonometric functions: Cosine of an angle.

- The scientist can substitute these measurements into cos\alpha=\frac{adjacent}{hypotenuse}cosα=

hypotenuse

adjacent

and solve for the distance between the Sun and the shooting star (which would be the hypotenuse of the righ triangle).

Step-by-step explanation:

You can observe in the figure attached that "AC" is the distance between the Sun and the shooting star.

Knowing the distance between the Earth and the Sun "y" and the angle x°, the scientist can use only these two measurements to calculate the distance between the Sun and the shooting star by applying one of the trigonometric functions: Cosine of an angle.

This is:

cos\alpha=\frac{adjacent}{hypotenuse}cosα=

hypotenuse

adjacent

In this case:

\begin{gathered}\alpha=x\°\\\\adjacent=BC=y\\\\hypotenuse=AC\end{gathered}

α=x\°

adjacent=BC=y

hypotenuse=AC

Therefore, the scientist can substitute these measurements into cos\alpha=\frac{adjacent}{hypotenuse}cosα=

hypotenuse

adjacent

, and solve for the distance between the Sun and the shooting star "AC":

cos(x\°)=\frac{y}{AC}cos(x\°)=

AC

y

AC=\frac{y}{cos(x\°)}AC=

cos(x\°)

y

7 0
3 years ago
M is directly proportional to r2.when r=2,m=14.Work out the value of m when r=12
valentinak56 [21]

Answer:

504

Step-by-step explanation:

In the attached file

Hope it helps

4 0
3 years ago
What is 1/2 + 1/6, please explain, I'm very bad at math
Masja [62]

Answer:

Before adding, we need to make sure the denominators are the same. We can do so by multiplying the fraction by a common multiple. In this case, 3 is a multiple of 6, so we can change 1/2 to 3/6. 3/6 is still equal to 1/2, so nothing changes.

Now we have 3/6+1/6, which is 4/6 (add the numerator).

4/6 can be simplified to 2/3 and 2 is a multiple of 4 and 6.

So, therefore, the answer is 2/3.

4 0
3 years ago
Find YQ if MQ = 3x-3 and YQ = 2x-6.
Alina [70]

Answer:

• Assume Q is a mid point of line MY

{ \underline{ \sf{ \:  _{l} M \:  \:  \:  \:  \:  \:  \:  \:  _{l} Q \:  \:  \:  \:  \:  \:  \:  \:  _{l}Y}}}

• Then, MQ = YQ

{ \rm{(3x - 3) = (2x - 6)}} \\  \\ { \rm{3x - 2x =  - 6 + 3}} \\  \\ { \boxed{ \rm{ \: x =  - 3 \: }}}

5 0
2 years ago
Solve for x: 14-14x^1/3 =2
zmey [24]

Answer: 216/343 or 0.6297

Step-by-step explanation:

14-14x^{1/3} = 2\\14 -2 = 14x^{1/3}\\12 = 14x^{1/3}\\\frac{12}{14} =x^{1/3}\\\frac{6}{7} =x^{1/3}\\(\frac{6}{7})^3 =(x^{1/3})^3\\\frac{6^3}{7^3} =x\\\\\frac{216}{343} = 0.629737609 = x

7 0
2 years ago
Other questions:
  • What is 12/13 in simplest form
    15·2 answers
  • Exercise 2.1.47 Prove that ifA^-1 exists and AX=0 then X =0.
    6·1 answer
  • To solve the logarithmic inequality below, Braden
    9·2 answers
  • 13) (c, 4) and (2,6);<br>Slope =​
    10·1 answer
  • Simplify 14 to the 15th power over 14 to the 5th power. 13 110 143 1410
    5·2 answers
  • Leslie makes $17,000 per year. She is paid weekly. What is the amount of her weekly paycheck?
    10·2 answers
  • How many groups of 1/2 pound are in 3 3/4 pounds?
    6·1 answer
  • Here are two squares, A and B. A B The length of each side of square B is 4cm greater than the length of each side of square A.
    8·2 answers
  • I will give Brainiest if you are right
    11·2 answers
  • Use the Fundamental Counting Principle to find the total number of possible outcomes.
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!