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A 3 foot Gingerbread man i tanding 12 feet from the bae of the tallet candy cane he ha ever een. He i looking at the top of the candy cane at an angle of 35⁰. How tall i the candy cane?

Sagot :

The height of the candy cane is 11.4024 feet when the man is looking at the top of the candy cane at an angle of 35°.

We have the following information:

A 3 foot Gingerbread man is standing 12 feet from the base of the tall candy cane he has ever seen. He is looking at the top of the candy cane at an angle of 35⁰.

Now, we can find the height of the candy cane using the trigonometric function of tan.

Now, the base will be 12 feet and the height of the candy cane will be added to 3 feet to find the real height of the cane.

Tan 35 = height of the cane/base

0.7002 = Height of the cane/12

Height of the cane = 12*0.7002

Height of the cane = 8.4024 feet

Real height of the cane = 3+8.4024 feet

Real height = 11.4024 feet

Hence, the candy cane is 11.4024 feet when the man is looking at the top of the candy cane at an angle of 35°.

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