Question

A tree breaks due to storm and the broken part bends so that the top of the tree touches the ground making an angle 30°. The distance between the foot of the tree to the point where the top touches the ground is 8m.Find the height of the tree from where it is broken.​

Answer 1

Answer:

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Step-by-step explanation:

given: angle of elevation BAC=30⁰,AB=8m find the height of the tree CD

proof:

tan30⁰=BC/AB

1/✓3=BC/8

1/3×8=BC

8/✓3=BC

there fore,BC=8/✓3×✓3/✓3

BC=8/✓3\3

Now cos30⁰=AB/AC

✓3/2=8/AC

✓3=16/AC

AC=16/✓3

AC=16/✓3×✓3/✓3

AC=16✓3/✓3

Now

CD=BC +AC

=8✓3/3+16✓3/3

=8✓3+16✓3\3

=24✓3/3

therefore

CD=8✓3 ANS