SOLUTION: 7. A ladder, of length 5 metres, is placed against a wall at an angle of 65� to the horizontal 1. Draw a diagram to represent the situation. 2. Use your knowledge of t

Question 1126232: 7. A ladder, of length 5 metres, is placed against a wall at an angle of 65� to the horizontal
1. Draw a diagram to represent the situation.
2. Use your knowledge of trigonometric ratios to calculate how high up the wall the ladder will reach.
3. How far will the foot of the ladder be from the base of the building?

Answer by rothauserc(4718) (Show Source): You can put this solution on YOUR website!
1. The ladder, wall and ground form a right triangle, note that the ladder is the hypotenuse of the right triangle
:
2. sin(65) = x/5
:
x = sin(65) * 5 = 4.5315
:
The ladder will reach 4.5315 metres up the wall
:
3. cos(65) = x/5
:
x = cos(65) * 5 = 2.1131
:
The foot of the ladder is 2.1131 metres from the base of the building
:

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