An office worker is looking out a window W from the top floor of a building standing on level ground. From W, a car C has an angle of depression 2a, while a balloon B directly above the car has an angle of elevation a. The height of the balloon above the car is x, and the height of the window above the ground is h. How do you show that tan 2a/h = tan a/x-h?

It is saturday morning and jeremy has discovered he has a leak coming from the water heater in his attic. since plumbers charge extra to come out on the weekends, jeremy is planning to use buckets to catch the dripping water. he places a bucket under the drip and steps outside to walk the dog. in half an hour the bucket is 1/5 of the way full. what is the rate at which the water is leaking per hour?

Yahir designs bracelets. he uses between 9 and 15 red and yellow beads in the ratio of 2 red bead to 5 yellow beads. drag the beads into the container to meet these requirements

The algebraic expression shown below is missing two whole number constants. determine the constants so that the expression simplified to 14x + 11 4x + 8(x + + + 2x