Question

Quinn is flying a kite. The angle of elevation formed by the kite string and the ground is 46°, and the kite string forms a straight segment that is 80 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

as a visual

Answer 2

if not clear, that is 80 feet and the angle is 46 degrees. Finding the distance b/w the ground and the height involves trig, which trig ratio can you use?

Answer 3

tangent ?

Answer 4

You are given the length of the hypotenuse, and need to solve for the side opposite the angle,
opposite/hypotenuse is?

Answer 5

sine

Answer 6

So sin(46) = x/80
what do we do next?

Answer 7

x/80=sin(46 degrees)

Answer 8

hold up, we are isolating for x you didn't do anything but switch the left and right sides above, I meant how would we solve for x

Answer 9

80x/80 =80sin(46 degrees)

Answer 10

am i right ? or was that wrong ?

Answer 11

how would i do that ?

Answer 12

how to plug into a calculator?

Answer 13

yes

Answer 14

Use fingers, and click the respective buttons..? Its not that hard put in 80*sin(46) into a calculator

Answer 15

i got 3,680.

Answer 16

@darkknight

Answer 17

What are you plugging, the hypotenuse is the longest side, the height can't be greater than 80, how do you get 3 thousand?

Answer 18

no im not on windows