Ask question

Ask question

All categories

3 years ago

13

Hannah is flying a kite with a trying that is 60 feet long. If Patricia is standing directly below the kite and 16 feet away fro

m hannah, what angle does the string make with the sand? (Use extra ratio)

1 answer:

Nataly_w [17]3 years ago

7 0

Answer:

74.5°

Step-by-step explanation:

Hannah, the kite and Patricia form the vertices of a right-angled triangle with the hypotenuse side the length of the string L = 60 feet and adjacent side the distance between Hannah and Patricia = d = 16 feet.

Let the angle between the string and the sand be Ф.

By trigonometric ratios,

cosФ = adjacent/hypotenuse

= d/L

= 16 feet/60 feet

= 0.2667

Ф = cos⁻¹(0.2667)

= 74.53°

≅ 74.5°

So, he angle between the string and the sand is Ф = 74.5°

You might be interested in

1. What is the solution of n² – 49 = 0? (1 point)

maks197457 [2]

Answer:

1. $n=\pm7$

2. $x=\pm7i[tex]3.[tex]\pm 12x =a$

4. 22

Step-by-step explanation:

1. $n^2 - 49 = 0$

$n^2 =49$

$n= \sqrt{49}$

$n=\pm7$

2. $x^2+64 = 0$

$x^2 =-64$

$x= \sqrt{49}$

$x=\pm7i[tex]3. Area of square = [tex]a^{2}$

Where a is the side

We are given an area o square = $144x^{2}$

So, $144x^{2}=a^{2}$

$\sqrt{144x^{2}}=a$

$\pm 12x =a$

4. We are given that the solution of quadratic equation -9 and 9

So, equation becomes:

$(x+9)(x-9)=0$

$x^2- 81=0$

So, in the given equation $x^2 + z = 103$

z should be the number from which if we subtract 103 so we get 81

Substitute z = 22

$x^2 + 22 = 103$

$x^2 + 22 -103=0$

$x^2 -81=0$

Thus the value of z is 22

8 0

3 years ago

Read 2 more answers

Find x to the nearest hundreths

7nadin3 [17]

I'd say the answer is C.

5 0

2 years ago

Read 2 more answers

A^2+b^2=c^2<br> a^2+10^2=18^2

Papessa [141]

Answer:

$\sqrt[-4]{14}$

Step-by-step explanation:

7 0

3 years ago

How to solve 2/10b=99

soldier1979 [14.2K]

Multiply both sides by 10.
2b=990
divide both sides by 2
b= 495

6 0

3 years ago

Solve the following system by Gauss-Jordan elimination.

topjm [15]

9514 1404 393

Answer:

x1 = 1/2 + 1/2t

x2 = 4 -2t

x3 = t

Step-by-step explanation:

Your answer is correct as far as it goes. The values of x1 and x2 also need to be expressed in terms of t.

x1 = 1/2 + 1/2t

x2 = 4 -2t

x3 = t

4 0

3 years ago