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°

7 0

3 years ago

What is the slope intercept equation of the line below?

valentina_108 [34]

The answer is letter D

6 0

2 years ago

Please help and show work

Eva8 [605]

Answer:

1) x(x+7)

3) (x+5)*(x+4)

4) (x-6)*(x-8)

5) x(2x+21)+11

6) 5(a-5)*(a+5)

7) (4x+3)*(2x-3)

8) 4( x²-6xy+8)

Step-by-step explanation:

4 0

3 years ago

The base of a triangle is 8 1 3 meters and the height of the triangle is the fourth root of 16 meters meters. What is the area o

just olya [345]

Answer:

The area of triangle is $8 \frac{1}{3}\ m^{2}$

Step-by-step explanation:

we know that

The area of a triangle is equal to

A=(1/2)bh

we have

b=8 1/3 m

convert to an improper fraction

8 1/3 m=(8*3+1)/3=25/3 m

The fourth root of 16 is equal to 2

$\sqrt[4]{16}=(2^{4})^{1/4}=2$

h=2 m

substitute

$A=(1/2)(25/3)2=25/3\ m^{2}$

convert to mixed number

$25/3=(24/3)+(1/3)=8+1/3=8 \frac{1}{3}\ m^{2}$

5 0

3 years ago