8. USING TRIG + PYTHAGOREAN THM FOR PROBLEM SOLVING. Two buildings along a street are 250 feet apart. The angle of elevation from the bottom of one building to the top of the other is 32 degrees for one building and 49 degrees for the other (a diagram is pictured below). City planners want to install a cable from the top of the taller building to the top of the shorter building. How long will this cable be? (SHOW WORK) cable 49 deg 32 deg 250 feet ork and

Find the value of a. the diagram is not to scale. a quadrilateral is drawn. the upper and lower sides are parallel. the interior angle in the upper left corner is labeled a degrees. the angle in the upper right corner is labeled 113 degrees. the angle in the lower right corner is labeled b degrees. the angle in the lower left corner is labeled 36 degrees. a. 36 b. 144 c. 54 d. 126

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 triangles are similar. what is the value of x? show your work.