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
1 answer:
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
You might be interested in
Answer:
All of the options are in standard form (ax+by=c). But none of the answers is an option. The correct answer is <u>x+4y=8.</u>
Step-by-step explanation:
The following screenshot is a graphing website to prove that the equation x+4y=8 passes through the points (4,1) and (20,-3).
I don’t know if the equation x+4y=8 is an option for you, because I don’t see it as an option to choose out of the four.
But I hope this helps and answers your question :)
