Pythagorean Theorem vs Trigonometry

Calculate the length of the missing side for the triangle given. Round your answer to the nearest tenth if needed.



Calculate the length of the missing side for the triangle given. Round your answer to the nearest tenth if needed.



Calculate the length of the missing side for the triangle given. Round your answer to the nearest tenth if needed.



Calculate the length of the missing side for the triangle given. Round your answer to the nearest tenth if needed.



You start driving north for 3 miles, turn right, and drive east for another 4 miles. At the end of driving, what is your straight line distance from your starting point?

You start driving north for 21 miles, turn right, and drive east for another 20 miles. At the end of driving, what is your straight line distance from your starting point?

If you place a 34-foot ladder against the top of a 30-foot building, how many feet will the bottom of the ladder be from the bottom of the building?

If you place a 13-foot ladder against the top of a 12-foot building, how many feet will the bottom of the ladder be from the bottom of the building?

In ΔPQR, the measure of ∠R=90°, the measure of ∠Q=48°, and QR = 61 feet. Find the length of RP to the nearest tenth of a foot.

In ΔFGH, the measure of ∠H=90°, the measure of ∠G=75°, and FG = 24 feet. Find the length of HF to the nearest tenth of a foot.