Trig Angles of Elevation

Front

What is the angle of elevation?

Back

The angle of elevation is the angle formed between the horizontal line and the line of sight to an object above the horizontal line.

Front

How do you find the angle of elevation using trigonometry?

Back

You can find the angle of elevation using the tangent function: tan(angle) = opposite/adjacent.

Front

What is the tangent ratio in a right triangle?

Back

The tangent ratio is the ratio of the length of the opposite side to the length of the adjacent side.

Front

If the opposite side is 5 m and the adjacent side is 12 m, what is the angle of elevation?

Back

Using tan(angle) = opposite/adjacent, tan(angle) = 5/12. Calculate the angle using the arctan function.

Front

What is the sine ratio in a right triangle?

Back

The sine ratio is the ratio of the length of the opposite side to the length of the hypotenuse.

Front

What is the cosine ratio in a right triangle?

Back

The cosine ratio is the ratio of the length of the adjacent side to the length of the hypotenuse.

Front

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

Back

Height = distance * tan(angle of elevation).

Front

What is the relationship between angles of elevation and depression?

Back

The angle of elevation from one point to an object is equal to the angle of depression from the object to that point.

Front

If a ramp is 8 feet long and makes an angle of elevation of 30 degrees with the ground, how high does it reach?

Back

Height = 8 * sin(30 degrees) = 4 feet.

Front

What is the formula for finding the length of the hypotenuse in a right triangle?

Back

Hypotenuse = sqrt(opposite^2 + adjacent^2).