MP2 Flashcard 2 Review

Front

Are the lines y = (-1/2)x + 1 and y = (1/2)x - 5 parallel?

Back

NO

Front

A tower casts a shadow that is 60 feet long when the angle of elevation of the sun is 65˚. How tall is the tower?

Back

128.67 feet

Front

What slope is perpendicular to m = 3?

Back

-1/3

Front

A person stands at the edge of a 50 meter tall building. 30 meters away is a taller building. The angle of elevation to the taller building is 26 degrees. What is the height of the taller building?

Back

64.6 meters

Front

If two lines are perpendicular to each other, their slopes are ____________

Back

negative reciprocals of each other.

Front

What is the definition of parallel lines?

Back

Lines that never intersect and have the same slope.

Front

What is the definition of perpendicular lines?

Back

Lines that intersect at a right angle (90 degrees) and have slopes that are negative reciprocals.

Front

How do you find the height of an object using the angle of elevation?

Back

Use the tangent function: height = distance * tan(angle).

Front

What is the slope of a line?

Back

The ratio of the rise (change in y) to the run (change in x) between two points on the line.

Front

What is the formula for finding the slope between two points (x1, y1) and (x2, y2)?

Back

m = (y2 - y1) / (x2 - x1).