An extension ladder leans against a burning fling, making a 75° angle of elevation with the ground. the base of the ladder is 8 ft from the base of the building. to the nearest tenth of a food how long is the ladder? a) 10.1 ft b) 16.3ft c)29.9 ft d)30.9 ft

For this case we can model the problem as a rectangle triangle.
 We know:
 Angle between the base of the triangle and the hypotenuse
 Length of the base of the triangle
 We want to know:
 Length of the hypotenuse.
 For this we use the following trigonometric relationship:
 
 Clearing h we have:
 
 
 the ladder is 30.9 feet long:
 d) 30.9 ft

The length of what is left would be 1 1/2 feet long.

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