A ladder 7.25 m long leans against the side of a building. If the ladder is inclined at an angle of 61.0° to t
why is this wrong??
sin61= x/ 7.25
x=6.34
what am i doing wrong??
Update:A ladder 7.25 m long leans against the side of a building. If the ladder is inclined at an angle of 61.0° to the horizontal, what it the horizontal distance from the bottom of the ladder to the building?
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x= 6.34 is the height of the top of the ladder as it rests on the building.
for the horizontal distance h, the formula is:
cos61= x/ 7.25
x=3.51 m
This is because the angle you have is the angle to the horizontal, not the angle between the building and the ladder.
The cosine is the division of the side adjacent to the angle by the hypotenuse.
The sine is the division of the opposite side by the hypotenuse.
In your case the adjacent side is the horizontal line between the foot of the ladder and the base of the building wall, and the opposite side is the wall, from the base to the point where the ladder leans against it.