# Tutor profile: Laurel B.

## Questions

### Subject: Trigonometry

Given that sinA = 8/17, find angle A.

To find angle measures using trigonometric ratios, take the inverse of the trig function. Given that sinA=8/17, the inverse sine of A = sin^-1(8/17) = 28, therefore Angle A = 28 degrees.

### Subject: Geometry

Given the base angle of an isosceles triangle is 56 degrees, find the measures of the other two angles.

Because the triangle is isosceles, the base angels are congruent. Therefore, one other angle is 56 degrees. The three angles of a triangle add up to 180 degrees. 180-56-56 = 68 degrees. Angle 1 = 56 degrees Angle 2 = 56 degrees Angle 3 = 68 degrees

### Subject: Algebra

Find the slope of a line using points A (3,5) and B (2, 1).

The slope of a line is how steep the line is, or how much it rises (vertical) over its run (horizontal). Slope is calculated as "rise" over "run", or the change in the y direction divided the change in the x direction. To calculate the slope between two points, first label the coordinates of each point as (x1, y1) and (x2,y2). Using the slope formula of (y2-y1)/(x2-x1), plug in your points and calculate the slope. A (3,5) 3 = x1, 5 = y1. B (2,1) 2 = x2, 1 = y2. (1-5)/(2-3) = -4/-1 = 4. The slope of the line is 4.