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:
33.22 square inches
Step-by-step explanation:
Diameter to Radius:
Area of Circle:
We are given the diameter of a pancake as 4.6 inches, so the radius is 2.3 inches. Next, we have to apply the area of circle formula with pi as 3.14 and the radius as 2.3
Next, since there's two pancakes, we double 16.6106.
Lastly, we round to the nearest hundredth.
- 33.2212 ≈ 33.22 square inches
Therefore, the answer is 33.22 square inches.