the "body" of a soda can (in between the lid and the bottom) is a cylinder. If the body is about 4.5 inches tall with a diameter
1 answer:
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The question is incomplete. Here is the complete question:
The height of a wooden pole, h, is equal to 15 feet. A taut wire is stretched from a point on the ground to the top of the pole. The distance from the base of the pole to this point on the ground, b. is equal to 8 feet. What is the length of the wire?
Answer:
Length of wire = 17 feet
Step-by-step explanation:
Given:
The height of the wooden pole is,
The distance from the base of the pole to this point on the ground is,
Let the length of the wire be 'l'.
Now, consider the triangle formed by the pole, the base, and the wire. The length of the wire is the slant length and hence the hypotenuse of the triangle.
Using Pythagorean theorem, we can find the hypotenuse.
Plug in the given values and solve for 'l'. This gives,
As length can never be negative, we ignore the negative result.
Therefore, the length of the wire is 17 feet.
The hurdle and runner form a right triangle (see attached picture) such that
sin(30°) = <em>h</em> / (5 ft)
and
cos(30°) = <em>x</em> / (5 ft)
where <em>h</em> is the height of the hurdle and <em>x</em> is the horizontal distance from where the runner jumps to the hurdle. So
<em>h</em> = (5 ft) sin(30°) = 5/2 ft = 2.5 ft
<em>x</em> = (5 ft) cos(30°) = (5√3)/2 ft ≈ 4.33 ft
