# Tutor profile: Will P.

## Questions

### Subject: Trigonometry

A 10 foot tall ladder leaning against a wall creates a angle of 65 degrees with the ground. How high on the wall does the ladder reach?

To find the height that the ladder reaches on the wall you would use your sin property. Sin is equal to the opposite decided by the hypotenuse. We have the angle for Sin and the length of the hypotenuse, but not the length of the opposite side. For this problem we will call the opposite side x. So to find the length of x we will use the equations Sin 65 = x/10. To get rid of the division we multiply both sides by 10 to get 10 Sin 65 = x. We use our Calculator to solve and we get 9.06. The ladder reaches 9.06 feet on the wall.

### Subject: Geometry

A triangle has a perimeter of 60 inches. Two of the sides are equal, and the third side is 10 inches longer than the other two. What are the measurements of all three sides?

A triangles perimeter is equal to the sum of all three sides. Name the equal sides x and the third side x+10. If you write an equation to solve for the third side it should look like this: x + x + x + 10 = 60. Subtract 10 from both sides to get x + x + x = 50. You can simplify that to 3x = 50. divide both sides by 3 to get x = 16.67. That means that the two equal sides are 16.67 inches long and the third side is 26.67 inches long.

### Subject: Biology

How does the taproot system differ from the fibrous root system?

The taproot system features a large deep root that allows for the plant to have a strong anchor, get water from deep in the soil, and store food (Ex. Carrot). The fibrous root system features many thin roots that span over a much larger area that allows the plant to absorb water from a larger surface area. The fibrous root system grows down and out through the ground and near the top layer of the soil (Ex. Grass).

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