You stand at base camp and look up at the summit of the mountain you are about to climb. the angle of elevation to the top is 15°. you are 5 miles from the point underneath the summit, as shown below. which expression below is equivalent to how many feet will you have gained in elevation when you reach the summit? 5 cos (15°) x 5,2805 cos (15°) ÷ 5,2805 tan (15°) x 5,2805 tan (15°) ÷ 5,280

He concluded that a heavier object dropped from the same height as a lighter object will land

The number 72 lies between what perfect squares

Aking and his army will attempt to capture a fortress. the left and right flanks break off from the main group to attack the west and east guard towers. suppose the left flank has a 60% chance of success and the right flank has a 75% chance of success, independently of one another. if both flanks capture their respective targets, then the king has a 98% chance of successfully taking the fort. if, however, only the left flank captures its tower, the king has an 80% chance of success; if only the right flank succeeds, the king has a 50% chance. if both flanks fail, then the king's chance of capturing the fort drops to 20%. it turns out the king captures the fort. what is the probability that one, and only one, flank was successful (either the left, or the right, but not both)? (round your answer to 3 decimal places)