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tankabanditka [31]
3 years ago
8

A dead tree was struck by lightening causing it to fall over at a point 10 ft up from its base. If the fallen treetop forms a 40

° angle with the ground, about how tall was the tree originally?
Mathematics
1 answer:
gizmo_the_mogwai [7]3 years ago
7 0

Answer:

25.6 feet to the nearest tenth.

Step-by-step explanation:

The fallen tree and the ground make a right-angled triangle with the side opposite the 40 degree angle = 10 ft and the hypotenuse is the length of the tree above  10 ft.

So sin 40° = 10 / x     where x is the hypotenuse.

x = 10 / sin 40°

x =  15.56 ft

So the height of the tree was 10 + 15.56 = 25.56 feet (answer).

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