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nasty-shy [4]
3 years ago
14

A kite flier wondered how high her kite was flying. She used a protractor to measure an angle of 15∘ from level ground to the ki

te string. If she used a full 50 yard spool of string, how high, in feet was the kite? (Disregard the string sag and assume that the string reel was at ground height.) Include units in your answer. All trig functions will be evaluated in degrees.
Mathematics
1 answer:
Nataly [62]3 years ago
6 0

Answer:

12.9 yd

Step-by-step explanation:

It helps if you draw a triangle. Draw a horizontal segment. That is the ground. Now at the left end start a new segment that goes up to the right at approximately 15 degrees until it its other endpoint directly above the right endpoint of the horizontal segment. Connect these two endpoints. The vertical side on the right shows the height of the kite. The hypotenuse is the string.

For the 15-deg angle, the height of the triangle is the opposite leg, and the string is the hypotenuse. The trig ratio that relates the opposite leg tot he hypotenuse is the sine.

\sin A = \dfrac{opp}{hyp}

\sin 15^\circ = \dfrac{h}{50~yd}

(50~yd)\sin 15^\circ = h

h = (50~yd)(0.2588)

h = 12.9~yd

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Mr.yueng graded his students math quizzes students came up with four different answers when solving the equation x3=22. Which an
alex41 [277]

The question is incomplete. Here is the complete question:

Mr.yueng graded his students math quizzes students came up with four different answers when solving the equation x3=22. Which answers is correct.

(A) \frac{22}{3}

(B) \sqrt[3]{22}

(C) \pm \sqrt[3]{22}

(D) \sqrt{22}

Answer:

(B) \sqrt[3]{22}

Step-by-step explanation:

Given:

The equation to solve is given as:

x^3=22

Here, the left hand side of the equation has a variable 'x' in exponent form. So, in order to solve for 'x', we have to eliminate the exponent.

For removing the exponent, we have to take cubic root on both the sides. As we know that,

\sqrt[n]{x^n} =x

So, taking cubic root on both the sides, we get

\sqrt[3]{x^3}=\sqrt[3]{22}\\\\x=\sqrt[3]{22}

Therefore, the second student has written the correct answer and hence the correct option is (B).

6 0
3 years ago
Read 2 more answers
Answer both ASAP! please do correctly
Tresset [83]

Answer:

1. the discriminant is 4

the number of solutions 0

solutions 0

2.the discriminant is 0

i couldn't find any solutions

Step-by-step explanation:

4 0
2 years ago
Help plz with this
kirill115 [55]
He is congruent to the term from the product but B is the wrong answer but I don’t know about secrecy is might be the answer so just put d
Deez nurs
6 0
2 years ago
The graph of y= -5x + 1 is:
notsponge [240]

Answer: Slope: −5

y-intercept: (0,1)

x= 0 , 1

y= 1 , −4

7 0
3 years ago
Order least to greatest 52%, 0.57, and 2/5
Inessa [10]
Simple...

change them all into decimals...or fractions..or percents:

52%, 0.57, \frac{2}{5}--->>

52%--->>0.52

0.57--->>0.57

\frac{2}{5}-->>0.4

Now you can order from least to greatest....

\frac{2}{5}, 52%, 0.57

Thus, your answer.
4 0
3 years ago
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