Question:
A 33 foot ladder leans against a building so that the angle between the ground and the ladder is 75º. How high does the ladder reach up the side of the building?
Round to 2 decimal places feet.
Answer:

Step-by-step explanation:
The question is illustrated using the attachment as a sketch.
We have that


Required
Determine how high the ladder is to the building
Represent the length of the ladder with L and how high the ladder is on the building with H.
The relationship between L, H and
is"

Substitute values for L and 

Make H the subject



<em>Hence, the height to which the ladder reaches is approximately 31.88ft</em>