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Will give Brainliest
2 part question.
a) Through what angle does Tarzan need to swing? see the statement below
(b) How far vertically above the river banks does the top of the
vine need to be so that Tarzan doesn’t get eaten by
crocodiles on the river?

Tarzan is swinging over a river on a vine that is 30m long, with
its banks elevated above the river. The banks of the two sides of
the river are level and the top of the vine is attached to a point
exactly halfway across the river. If the river is 50m wide:

Respuesta :

sqdancefan

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Answer:

  a) about 113°

  b) about 16.6 m

Step-by-step explanation:

a) Half of the angle through which Tarzan swings is the angle in a right triangle with hypotenuse 30 m and opposite side 25 m. That half-angle is then ...

  sin(α/2) = 25/30 = 5/6

  α/2 = arcsin(5/6)

  α = 2×arcsin(5/6) ≈ 112.895° ≈ 113°

Tarzan will need to swing through an angle of about 113°.

__

b) The side adjacent to that half-angle is the height of the vine attachment above the riverbank. It can be found using the Pythagorean theorem.

  h = √(30² -25²) = √275 ≈ 16.583

The top of the vine needs to be about 16.6 m above the riverbank so Tarzan stays above the water.

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