The use of a ladder is considered safe if the angle between the ground and the ladder is less than 75 degrees. Charlie's 5 ft long ladder is 1 ft from the base of a wall. 

a) Is the ladder being used safely?

b) How far away from the wall is the minimum distance charlie's other ladder should be if it is 10 ft long?

Explain why knowing a combination of four pairs of equal sides or equal angles guarantees one of the congruence relationships.

 $94.7°$9‍4.7° is the angle at the top

 In Alberta, ramps that are designed for people using mobility devices must meet certain safety requirments. One such requirment is that the angle between the ramp and the horizontal must be less than 4.8°. Explain whether or not the ramp below is acceptable. 

Determine the measrue of angle x in the diagram. Be sure to explain your reasoning.

how do you solve the following equation by completing the sqaure?

y= -x^2/90+4x/3

For the construction of a deck surrounding a bay window, Tricia must cut several boards at an angle of 120 degrees. Setting up her mitre saw, she sets an angle of 30 degrees. Will this cut the wood at the correct angle? if not, what angle should she use if her mitre saw can only be moved up to 90 degrees.

John wants to have $2000 in 3 years. The current rate of return for a high interest savings account is 2.8%, compounded annually.  How much must John invest now to have $2000 in 3 years?