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Question 26733: A 6 metre ladder is leaning against a wall. The angle formed by the ladder and the wall is 25 degrees.
a)How far is the base of the ladder reach?
b)How far up the wall does the ladder reach?
c)If the wall is 7 metres high, will a person 2 metres tall standing on the top of the ladder be able to see over the wall? Explain
Answer by longjonsilver(2297)   (Show Source):
You can put this solution on YOUR website! Draw a diagram.
Draw a vertical line representing the wall and a horizontal one representing the floor. Draw a diagonal line for the ladder.
Let h = height of ladder against wall
Let x = distance of foot of ladder from wall.
Mark on the diagram the top angle of 25degrees and the ladder of 6m
a. cos25 = h/6 --> h = 6cos25 --> h = 5.44m
b. sin25 = x/6 --> x = 6sin25 --> x = 2.54m
c. 2m tall person on top of the ladder, which rests at 5.44m above the ground will be able to see over the 7m wall.
jon.
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