Mastering the Tangent Ratio

A right-angled triangle has one angle measuring 35 degrees. What is the tangent of this angle?

• 0.7002

• 0.5736

• 0.8192

• 0.4281

In a right triangle, if one leg is 24 units and the other leg is 7 units, what is the tangent of the angle opposite to the 7-unit side?

• 0.2917

• 3.4286

• 0.875

• 0.2929

In a right triangle, if one leg is 24 units and the other leg is 7 units, what is the tangent of the angle opposite to the 24-unit side?

• 0.2917

• 3.4286

• 0.875

• 0.2929

If tan(B) = 1.5 and B is an angle in a right-angled triangle, what is the ratio of the opposite side to the adjacent side?

• 1:1.5

• 1.5:1

• 2:3

• 3:2

If A and B are acute angles in a right triangle, and tan(A) = 1.5, what is tan (B) =?

• 1:1.5

• 1.5:1

• 2:3

• 3:2

(No calculators!) What is the tangent of an angle in a right triangle if the angle measures 45 degrees? (tan 45°=?)

• 0

• 1

• √2

• 2

For a right triangle with angle A, and tan(A) = 0.75, what is the length of the opposite side if the adjacent side is 16 units?

• 12 units

• 20 units

• 21 units

• 24 units

If the tangent of an angle in a right-angled triangle is greater than 1, which side is longer?

• The opposite side is longer than the adjacent side.

• The adjacent side is longer than the opposite side.

• Both sides are of equal length.

• It cannot be determined from the tangent alone.

A ladder is leaning against a wall, forming a 75-degree angle with the ground. If the distance from the base of the ladder to the wall is 10 feet, how long is the ladder?

• 41 feet

• 37 feet

• 43 feet

• 39 feet

Calculate the tangent of an angle in a right-angled triangle if the opposite side is 9 units and the hypotenuse is 15 units.

• 0.75

• 0.8

• 1.25

• 1.66