Ismail and Amal are standing on a riverbank, 170 meters apart, at points A and B respectively. (See the figure below.) They want to know the distance from Ismail to a house located across the river at point C. Ismail measures angle A (angle BAC) to be 52, and Amal measures angle B (angle ABC) to be 75.
What is the distance from Ismail to the house? Round your answer to the nearest tenth of a meter.

Aswimming pool has an input pump for filling the pool and an output pump for emptying the pool. the input pump can fill the pool in 3 hours, and the output pump can drain the pool in 5 hours. as you go to bed, the pool is full, but a neighbor’s kid turns on the output pump. at midnight, you awake to find the pool half empty. immediately, you turn on the input pump, but you are sleepy and forget to turn off the output pump. at what time will the pool become full?

The solution set for 5v2 – 125 = 0 is

Hector and alex traded video games. alex gave hector one fourth of his video games in exchange for 6 video games. then he sold 3 video games and gave 2 video games to his brother. alex ended up with 16 video games. how many video games did alex have when he started?