Question

GIVING 100 POINTS!!!! Quinn is flying a kite. The angle of elevation formed by the kite string and the ground is 44°, and the kite string forms a straight segment that is 90 feet long.
Explain how to find the distance between the ground and the kite. Include a description of the triangle you drew to help you solve, including the variables and measurements you assigned to each side and angle. Round your answer to the nearest foot.

Answer 1

Diagram:-

$\setlength{\unitlength}{1cm}\begin{picture}(6,5)\linethickness{.4mm}\put(1,1){\line(1,0){4.5}}\put(1,1){\line(0,1){3.5}}\qbezier(1,4.5)(1,4.5)(5.5,1)\put(.3,2.5){\large\bf }\put(2.8,.3){\large\bf }\put(1.02,1.02){\framebox(0.3,0.3)}\put(.7,4.8){\large\bf A}\put(.8,.3){\large\bf B}\put(5.8,.3){\large\bf C}\qbezier(4.5,1)(4.3,1.25)(4.6,1.7)\put(3.8,1.3){\large\bf 44^{\circ} }\end{picture}$

We need Base

$\boxed{\sf cos\Theta=\dfrac{Base}{Hypotenuse}$

• cos44=B/90
• B=90cos44
• B=64.7ft

Answer 2

Answer:

64.7 feet

Step-by-step explanation:

Cos(44°) = 0.7193

0.7193 = A/90

A = 64.7 feet

or  

sin44° = y/90

.695... = y/90

y =~ 63 feet    

either way you can get the answer