A ladder 7.65 m long leans against the side of a building. If the ladder is inclined at an angle of 72.5° to the horizontal, what is the horizontal distance from the bottom of the ladder to the building?
7.42m
A ladder 7.65 m long leans against the side of a building. If the ladder is inclined at an angle of 76.5° to the horizontal, what is the horizontal distance from the bottom of the ladder to the building?
To find the horizontal distance from the bottom of the ladder to the building, we can use trigonometry.
Let's denote the horizontal distance as 'd'.
Given that the ladder is inclined at an angle of 72.5° to the horizontal, we can use the cosine function to relate the horizontal distance with the length of the ladder.
The cosine of an angle is equal to the adjacent side (in this case, the horizontal distance) divided by the hypotenuse (the length of the ladder).
So, cos(72.5°) = d / 7.65
To find the value of d, we can rearrange the equation as:
d = 7.65 * cos(72.5°)
Now, we can calculate the value of d.