# Tutor profile: Andrea K.

## Questions

### Subject: Trigonometry

A right triangle has legs 5cm and 3cm. What is the angle between the shortest leg and the hypotenuse?

1. A = 3, B = 5, angle c = 90deg 2. Find angle b 3. Right triangle = SOH CAH TOA 4. tan(b) = opposite / adjacent 5. b = arctan (opposite / adjacent) 6. b = arctan (5/3) 7. b = 59.036deg

### Subject: Basic Math

Tom has 3 apples and 4 pears. Jim has 6 apples and 2 pears. If Jim trades 2 pears to Tom for 3 apples, how much fruit does each person have?

1. Tom = 3 apples, 4 pears Jim = 6 apples, 2 pears 2. Jim gives Tom 2 pears Tom gives Jim 3 apples 3. Tom = 4 pears + 2 pears = 6 pears Jim = 6 apples + 3 apples = 9 apples 4. Tom has 6 pears and Jim has 9 apples.

### Subject: Algebra

A fence needs to be built for a yard. One short side of the fence will be the house. If the yard is 12ft by 14ft, how much fencing is needed?

1. Find the total perimeter of the yard without the house (12 x 2) + (14 x 2) = 24 + 28 = 52 2. Subtract the side for the house 52 - 12 = 40 3. 40ft of fencing will be needed.

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