Tutor profile: Yasar A.

In a right triangle ABC, tan(A) = 3/4. Find sin(A) and cos(A).

Let a be the length of the side opposite angle A, b the length of the side adjacent to angle A and h be the length of the hypotenuse. tan(A) = opposite side / adjacent side = a/b = 3/4 Let us find h. Pythagora's theorem: h2 = (3)2 + (4)2 = 25 h = 5 sin(A) = a / h = 3/5 and cos(A) = 4/5

If A = 2, B = 3, C = 5, D = 6, E = 7 and F = 10 then (B x E) - (C + D) =

(3 x 7) - (5+6) = 21 - 11 = 10 = F

Design a new ride for a theme park. Describe the motion of people who will take that ride.

The design of the ride is like a couch having strong springs behind it that can hold certain defined load, initially, these springs are compressed but they have the higher potential of stretching out. Some external mechanism will be attached for re-compression of those springs again & again. When people sit on that couch they will be strapped by belts, as the lock removed from bottom springs will stretch out with the higher force and people feel free fall upwards. For a short time springs produce the bouncy effect as per weight on the couch. As the springs come in rest, the external mechanism will again compress the springs and people wil be deload.