# Tutor profile: Rachel W.

## Questions

### Subject: Trigonometry

Micheal leaned his ladder against a tree, making a right triangle between the ground, the tree and his ladder. The ladder is 30 feet tall and the angle made by the ladder and the ground is 35 degrees. How tall is the tree?

This type of problem is impossible to solve just by looking at the numbers, you must have a picture to solve this type of problem. I drew a tree with a ladder leaning up against it and a line connecting the base them together to create a triangle. Make sure to mark your known angle in the picture. Now that I can see the triangle and the sides I can look at Sin, Cos and Tan to determine which i need to use to solve this problem. sin=opposite/hypotenuse, which is the operation i need to use. x= height of the tree. Sin (35)=x/30 30 Sin (35)=x 17.207 ft =x

### Subject: Basic Math

Jane is getting ready for a party by putting together candy boxes, she has 250 pieces of candy. If she puts 25 pieces in each box, how many boxes will she have?

To solve this problem the first thing that needs to be figured out is what operation needs to be done. (Multiplication, Division, Addition or Subtraction) This problem is a division problem, so we need to determine which number we want to split into groups. In this case we want to split 250 into groups of 25. 250/25=10 Jane will have 10 boxes of candy. *Make sure you put the answer into the context of the question.

### Subject: Algebra

If the profit equation for a business selling x number of item one and y number of item two is p=5x+4y, find the y value when p=672 and x=93.

To solve this problem the first step is to identify what all the variables represent. p: total profit, x: Item one, y: Item two. The next step that needs to be done is the provided values need to be input into the equation (p=5x+4y). 672=5(93)+4y Now that the values have been put into the equation you can start to solve. Solving steps: 1: Simplify: 672=465+4y 2: Rearrange: 672-465=4y 3: Simplify again:207=4y 4: solve for y: 207/4 = y 5. Answer: $51.75=y *Always check for labels on your answer to make it fit within the context of the problem being solved. In this case the label is dollars.

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