Solve each problem. See Example 5. Height of a Lighthouse The Biloxi ligh...

Solve each problem. See Example 5.

Height of a Lighthouse The Biloxi lighthouse in the figure casts a shadow 28 m long at 7 p.m. At the same time, the shadow of the lighthouse keeper, who is 1.75 m tall, is 3.5 m long. How tall is the lighthouse?

(Reference Example 5)

Workers at the Morganza Spillway Station need to measure the height of the station flagpole. They find that at the instant when the shadow of the station is 18 m long, the shadow of the flagpole is 99 ft long. The station is 10 m high. Find the height of the flagpole.