For this case, we can model the problem as a rectangle triangle. We know the height of the triangle. We know the angle between the base of the triangle and the hypotenuse. We want to find the base of the triangle. For this, we use the following trigonometric relationship: tan (70) = 39 / x Clearing x we have: x = 39 / tan (70) x = 14.2 feet Answer: The distance between the base of the building and the base of the ladder is: x = 14.2 feet
Either a student passes an exam or fails it. that means the percentage of students who pass plus the percentage of students who fail must add to 100%. this also means that if 22% pass, then 78% fail. there are 68 students total and 78% fail so the number of students failing is: (78/100)(68) = 53.04 which is approximately 53 students.