# Tutor profile: Megan V.

## Questions

### Subject: Trigonometry

The angle of elevation of a ladder is 19∘ and the ladder is 12 feet from the wall. What is the height of the ladder in feet?

Let x = the height of the ladder, or the hypotenuse 12 ft = the distance the ladder is from the wall, or the base of a triangle the angle next to the base is 19 degrees We would be using the adjacent side, and the hypotenuse, so COS COS 19 = 12/x x = 12 cos 19 x = 12.1 feet

### Subject: Geometry

Slope of the line perpendicular to the time passing through the points (2,1) and (2, -1) is __________ .

Slope (m) = y2-y1/x2-x1 m = -1 - 1/2 - 2 m = -2/0, aka the slope is undefined, which means these points are on a vertical line the slope of the line perpendicular passing through the line the points are on would be a horizontal line, with a slope of m=0

### Subject: Algebra

Elimination Method: Jim bought 3 boxes of pencils and 2 boxes of pens for $6. He then bought 2 boxes of pencils and 4 boxes of pens for $8. Find the cost of each box of pencils and each box of pens.

let x = pencils let y = pens 3x + 2y = 6 2x + 4y = 8 multiply the first equation by -2 -6x -4y = -12 2x + 4y = 8 add equations -4x = -4 x = 1 plug in x into one of the equations 3(1) + 2y = 6 3 + 2y = 6 2y = 6 y = 3 $1 for pencils $3 for pens

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