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Solve A Right Triangle For Any Missing Angles Using Trigonometry

In a right triangle, if the length of one leg is 9 units and the length of the other leg is 12 units , what is the measure of the acute angle (rounded to the nearest degree)? 

If you are at Point P and want to express the bearing to Point Q as S45°W, what angle should you measure clockwise from the north direction?

In a right triangle, if the length of one leg is 8 units and the length of the hypotenuse is 10 units, what is the measure of the acute angle (rounded to the nearest degree)?

What trigonometric ratio relates the length of the opposite side to the length of the hypotenuse in a right triangle? 

If sin sin x = 0.4 and = 0.6 in two different right triangles, what can you conclude about the measures of angles X and Y?

In a right triangle, if the length of one leg is 12 units and the length of the hypotenuse is 20 units, what is the measure of the acute angle (rounded to the nearest degree)?

In a right triangle, if the length of one leg is 19 units and the length of the hypotenuse is 22 units, what is the measure of the acute angle (rounded to the nearest degree)?

In a right triangle, if the length of one leg is 7 units and the length of the hypotenuse is 25 units, what is the measure of the acute angle (rounded to the nearest degree)?

If a hiker is facing west and turns 270 degrees clockwise, what direction is the hiker facing now?

What is the relationship between the two acute angles in a right triangle?