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MArishka [77]
3 years ago
8

A cable 19 m long runs from the top of a utility pole to a point on the ground 10 m from the base of the pole. How tall is the u

tility pole, to the nearest tenth
Mathematics
1 answer:
Leviafan [203]3 years ago
5 0

Answer:

16.2 m

Step-by-step explanation:

First, we can draw a picture. The cable goes from the top of the pole to the ground (with the pole on the right in my drawing), and the point on the ground is 10 m away from the base of the pole. This forms a right triangle, with the right angle being between the 10 m distance and the pole itself. We can then apply the Pythagorean Theorem, so

a²+b²=c², with c being the side opposite the right angle (the cable), getting us

10²+(length of pole)² = 19²

19²-10²=(length of pole)²

= 261

square root both sides to isolate the length of the pole

length of pole ≈ 16.2 m

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Answer:

p = -160

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

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  2. Parenthesis
  3. Exponents
  4. Multiplication
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Equality Properties

Step-by-step explanation:

<u>Step 1: Define</u>

p/5 = -32

<u>Step 2: Solve for </u><em><u>p</u></em>

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sergiy2304 [10]

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Step-by-step explanation:

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