Question: Lisa wants to know how high a kite is flying. Her brother tells her that the string is 500 feet long which is nailed to the ground. Using a protractor she finds that the angle made by the string and the ground is 65 degrees. Explain in detail with step by step instructions of how Lisa can find the height, perpendicular to ground, that the kite is flying. Find the height.

sin = opp/hyp

height  = opp side

hyp = length of string

sin65 = height / 500

multiply both sides by 500

500 * sin 65 = height

use calculator

453.153893518324982 = height

~ 453 feet

the correct option is 2.

step-by-step explanation:

according to the given information triangle abc is a right angle triangle with right angle at a. segment ab is 5 and segment ac is 7. point d is on segment bc and angles adb and adc are right angles.

it is given that triangles abd, cad, and cba are similar.

two triangles are similar if their corresponding sides are proportional.

in triangle cba, using pythagoras theorem

                      )

triangle abd and cba are similar,

                            (2)

triangle cad and cba are similar,

                      )

using (1), (2) and (3), we get

hence proved.

therefore option 2 is correct.

1. supplementary angles

2. acd and bcd

step-by-step explanation: