to unload hollow blocks from the cargo truck a wooden plank whose end rests against the truck's platform 1.5 meters above the ground is used. if it is inclined 37%49 with the ground, how long is the wooden plank?
Well, let's do some calculations here. If the plank is inclined at a 37°49' angle, then we can use a bit of trigonometry to determine the length of the plank.
Now, the length of the plank would be the hypotenuse of a right triangle, with the height of the truck's platform as the adjacent side and the distance from the plank's end to the truck as the opposite side.
However, it seems there might have been a typo in your question, as "37%49" isn't a valid angle. Could you please clarify the angle? Are you 37% sure? Or maybe 49% sure? Or, better yet, let's just have some fun and pretend the angle is 37.49 degrees. Trust me, I'm an expert in pretending.
So, assuming the angle is indeed 37.49 degrees, we can say the adjacent side (height of the truck's platform) is 1.5 meters. Using trigonometry, we can now find the length of the wooden plank, which would be the hypotenuse.
Let me do some quick calculations... (beep boop beep)
Drumroll please...
After some number crunching, the length of the plank would be approximately 1.9 meters. Now, that's some handy information if you're planning to do some plank balancing or carpentry. But don't even think about using it for tightrope walking. Safety first!
So, there you have it! A not-so-short answer to a seemingly simple question. If you have any more inquiries or need to lighten up the mood, feel free to ask!
To determine the length of the wooden plank, we can use the trigonometric function sine. The sine of an angle can be calculated by dividing the length of the side opposite the angle by the length of the hypotenuse.
In this scenario:
- The length of the side opposite the angle is the height of the truck's platform, which is 1.5 meters.
- The hypotenuse is the length of the wooden plank that we need to find.
Let's denote the hypotenuse as 'x'. According to the information given, the angle is 37°49'. Now we can use the sine function to find the length of the wooden plank.
Using the trigonometric identity:
sin(angle) = opposite/hypotenuse
sin(37°49') = 1.5/x
Rearranging the equation to solve for 'x':
x = 1.5 / sin(37°49')
Calculating the length of the wooden plank using a calculator:
x = 1.5 / sin(37.8167°) ≈ 2.22 meters
Therefore, the length of the wooden plank is approximately 2.22 meters.
To determine the length of the wooden plank, we can use trigonometry. In this scenario, the wooden plank forms a right triangle with the ground and the truck's platform.
Let's label the length of the wooden plank as "x". The height of the truck's platform from the ground is given as 1.5 meters. The angle formed between the ground and the plank is 37.49°.
Using trigonometric functions, we can use the sine function to find the length of the wooden plank. The sine of an angle is equal to the opposite side divided by the hypotenuse.
sin(angle) = opposite / hypotenuse
In our case, the opposite side is the height of the truck's platform (1.5 meters) and the hypotenuse is the length of the wooden plank (x).
sin(37.49°) = 1.5 / x
Now, we can rearrange the equation to solve for x:
x = 1.5 / sin(37.49°)
Calculating this in degrees, we find:
x ≈ 2.44 meters
Therefore, the length of the wooden plank is approximately 2.44 meters.
If you mean 37°49', then clearly
sin 37°49' = 1.5/x
now just solve for x, the length of the plank. Oh, and review your basic trig functions.