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ycow [4]
3 years ago
5

Jacob is standing on the observation deck of the Sears Tower in Chicago. The height of the

Mathematics
1 answer:
aniked [119]3 years ago
5 0

9514 1404 393

Answer:

  15.8°

Step-by-step explanation:

The relationship between angle trig functions and sides of a right triangle is summarized in the mnemonic SOH CAH TOA. Here, we're given the side opposite the angle (the height of the deck), and the side adjacent to the angle (the horizontal distance). So, the applicable relation is ...

  Tan = Opposite/Adjacent

  tan(angle) = 1450/5128

Then the angle is found using the inverse tangent function:

  angle = arctan(1450/5128) ≈ 15.8°

The angle of depression is about 15.8°.

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katen-ka-za [31]

Answer:

x=12

Step-by-step explanation:

This is a right triangle, so the Pythagorean theorem can be used. The Pythagorean theorem states that C^2=a^2+b^2 where C is the hypotenuse and a and b are legs. In this question, we are given a and C. So, plugin 13 for C and 5 for a and solve for b. Once you rearrange the equation you get, b=\sqrt{13^2-5^2}. Next, solve what is under the root to get, b=\sqrt{144}. Finally, square root 144 for the final answer b=12.

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Step-by-step explanation:

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Step-by-step explanation:

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