Tangent Practice Problems

Front

What is the tangent of an angle in a right triangle?

Back

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

Front

How do you calculate the tangent of an angle using a calculator?

Back

To calculate the tangent of an angle, use the 'tan' function on a scientific calculator, ensuring the calculator is in the correct mode (degrees or radians).

Front

What is the approximate value of tan(12°)?

Back

tan(12°) ≈ 0.21.

Front

If a tree casts a 25-foot shadow and the angle of elevation to the top of the tree is 32°, how do you find the height of the tree?

Back

Use the formula: height = shadow length * tan(angle). Here, height = 25 * tan(32°) ≈ 15.6 feet.

Front

In a right triangle, if the lengths of the legs are 8 and 15, what is the tangent of the angle opposite the leg of length 8?

Back

tan(∠A) = opposite/adjacent = 8/15.

Front

What is the formula for finding the height of an object using its shadow and the angle of elevation?

Back

Height = Shadow Length * tan(Angle of Elevation).

Front

In triangle ABC, if ∠B = 90°, AC = 50, AB = 48, and BC = 14, what is the tangent of ∠A?

Back

tan(∠A) = opposite/adjacent = BC/AB = 14/48.

Front

What is the value of tan(∠A) in a right triangle with legs of 8 and 15?

Back

tan(∠A) = 8/15 = 0.5333.

Front

How do you round a number to the nearest hundredths place?

Back

Look at the third decimal place; if it's 5 or more, round up the second decimal place by one.

Front

What is the tangent of an angle if the opposite side is 14 and the adjacent side is 48?

Back

tan(∠) = 14/48 = 0.2917.