Trigonometry Unit Review 2/13 & 2/14

Given sin⁡A = 4/5​ and that angle A is in Quadrant I, find the exact value of cotA in simplest radical form using a rational denominator.

Mathematical Equivalence

ON

Mathematical Equivalence

ON

Mathematical Equivalence

ON

An electrician leans an extension ladder against the outside wall of a house so that it reaches an electric box 22 feet up. The ladder makes an angle of 66∘∘ with the ground. Find the length of the ladder. Round your answer to the nearest tenth of a foot if necessary.

Mathematical Equivalence

ON

From her eye, which stands 1.68 meters above the ground, Hannah measures the angle of elevation to the top of a prominent skyscraper to be 31∘∘. If she is standing at a horizontal distance of 194 meters from the base of the skyscraper, what is the height of the skyscraper? Round your answer to the nearest hundredth of a meter if necessary.

Mathematical Equivalence

ON

From the observation deck of a skyscraper, Dominic measures a 45∘∘ angle of depression to a ship in the harbor below. If the observation deck is 984 feet high, what is the horizontal distance from the base of the skyscraper out to the ship? Round your answer to the nearest tenth of a foot if necessary.

Mathematical Equivalence

ON

Convert the following angle from degrees to radians. Express your answer in simplest form.

75°

Mathematical Equivalence

ON

Convert the following angle from degrees to radians. Express your answer in simplest form.

405°

Mathematical Equivalence

ON

Mathematical Equivalence

ON

Mathematical Equivalence

ON