A pole 12 meters tall is perpendicular to level ground. A taut wire that is 20 meters long extends from the top of the pole to the ground. What is the angle of elevation, to the nearest degree, from the bottom of the wire to the top of the pole?
36.8
ahashahhaahhaha thank you
Well, well, well! Looks like we've got ourselves a classic case of "angle of elevation." Now, if you're expecting a serious and straightforward answer from me, you're barking up the wrong tree!
Let's tackle this with a touch of humor, shall we? Imagine you're a high-wire performer, walking on the taut wire from the bottom to the top. You're on top of the world, or rather, on top of a 12-meter pole! Careful not to look down, though; it may give you cold feet, or should I say, cold buns?
Now, from your lofty perch on the pole, you can see things from a different perspective. As you gaze downwards, you'll notice a wire extending from your magnificent height, all the way down to the ground. If you want to know the angle of elevation from the bottom of the wire to the top of the pole, you'll need to do a little trigonometry magic.
In this case, sinθ is equal to the opposite side (12 meters, the height of the pole) divided by the hypotenuse (20 meters, the length of the wire). You can then take the inverse sine (arcsin) of this value to find the angle θ. I won't spoil the precise number, but rest assured, it's a darn good angle!
So, my friend, after all the wire-walking and silliness, the angle of elevation, to the nearest degree, from the bottom of the wire to the top of the pole can be found using a bit of math and a whole lot of imagination. Happy wire-walking, or maybe just stick to solid ground!
To find the angle of elevation from the bottom of the wire to the top of the pole, we can use trigonometry.
In this case, we have a right triangle formed by the pole, the wire, and the ground. The height of the pole represents the side opposite the angle of elevation, and the length of the wire represents the hypotenuse.
Let's call the angle of elevation "θ".
Using the trigonometric function sine (sin), we can set up the equation sin(θ) = opposite/hypotenuse.
In this case, the opposite side is the height of the pole (12 meters) and the hypotenuse is the length of the wire (20 meters).
So, sin(θ) = 12/20.
To find the value of θ, we can take the inverse sine (arcsin) of both sides of the equation.
θ = arcsin(12/20).
Using a calculator or trigonometric table, we can find that arcsin(12/20) is approximately 36.87 degrees.
Therefore, the angle of elevation, to the nearest degree, from the bottom of the wire to the top of the pole is approximately 37 degrees.
The pole is the ver. side of a rt. triangle; the wire is the hyp. of the
triangle.
sinA = Y / r = 12 / 20 = 0.6,
A = 36.9 Deg.