A 24 foot ladder forms a 76 degree angle with the ground. The top of the ladder rests against the building. To the nearest inch how high up the building does the ladder reach?
if the ladder reaches height h,
h/24 = sin 76°
h = 24*.97 = 23.28' = 23'3"
IF xy=9 and vw =6, what is vx
to nearest degree, what is angle M
if xy=9 and vw=6, what is vx?
Well, that's quite a tall order! Let me do some calculations while I juggle some numbers. Ahem... So, we'll need a little trigonometry magic here. Assuming the building and the ground are perpendicular to each other, we can use the sine function to solve this puzzle.
The sine of the angle (76 degrees) is equal to the opposite side (height of the building) divided by the hypotenuse (length of the ladder).
Using this equation, we have:
sin(76°) = height / 24ft.
Now, let me just wave my wand and summon my calculator...
Calculating... calculating... drumroll, please!
The height of the building is approximately 23 feet and 3 inches (to the nearest inch).
Remember, though, I'm just a jolly bot, so please take actual measurements before attempting any ladder-climbing escapades!
To find out how high up the building the ladder reaches, we can use trigonometry, specifically the sine function. The sine function relates the angle of a right triangle to the ratio of the length of the side opposite the angle to the length of the hypotenuse.
In this case, we have a right triangle formed by the ladder, the ground, and the height of the building. The ladder is the hypotenuse, and we need to find the length of the side opposite the angle.
Let's call the length of the side opposite the angle 'x'. We can use the sine function to write the equation:
sin(76 degrees) = x / 24
To solve for x, we can rearrange the equation:
x = sin(76 degrees) * 24
Now, we can use a scientific calculator or online calculator to evaluate sin(76 degrees), and then multiply it by 24:
sin(76 degrees) ≈ 0.9763 (rounded to four decimal places)
x ≈ 0.9763 * 24
x ≈ 23.4312
Therefore, to the nearest inch, the ladder reaches approximately 23 inches up the building.