Travis is in a hot air balloon that has just taken off and is now floating 12 meters above its launching point. Shontal is standing on the g

Question

Travis is in a hot air balloon that has just taken off and is now floating 12 meters above its launching point. Shontal is standing on the ground, 9 meters away from the launching point. How far apart are Travis and Shontal?

in progress 0
Madeline 2 weeks 2021-10-04T15:32:05+00:00 1 Answer 0

Answers ( )

    0
    2021-10-04T15:33:49+00:00

    Shontal is at a distance of 13 meters from the launching point

    Step-by-step explanation:

    Step 1 :

    Given,

    Distance of Travis from the launching point  = 12 meters

    Distance of Shontal from the launching point = 9 meters

    Step 2 :

    Let A represent the launching point

    B represent the point above the launching point at which the balloon is floating.

    C represent the point where Shontal stands on the ground.

    The angle made by AB with BC is 90 degrees because the balloon is directly above the launching point

    Step 3:

    So we have a right angle triangle here, with

    AB = 12

    BC = 9 and angle ABC = 90 degrees

    We need to find out length of  AC

    Using the theorem of Pythagoras,

    AC² = AB² + BC²

    AC² = 12² + 9² = 144 + 25 = 169 = 13

    Step 4 :

    Answer :

    Shontal stands at a distance of 13 meters from the launching point

Leave an answer

45:7+7-4:2-5:5*4+35:2 =? ( )