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- The building is on fire and we need to make sure the people in there are evacuated.
- We need to make sure that the ladder is safely put up when we check the windows.
- Since ladders should be set at a 75 degree angle and the stairs block the feet of a ladder by 5 feet, we need to place it six feet away from the building. Using the equation cos75=6/x to find the height to extend the ladder to. We find that the ladder needs to be 23.18 ft tall.
- Good, no one was in that room. For this window, which is 15 ft. above ground, we use the equation tan75=15/x to find a safe distance to put the ladder. For this window, we place it 4.02 ft away from the building.
- That room didn’t have anyone in it either. We have to check the roof for people. We’ll use the lamp post to support the ladder.
- The roof of the building is 25 ft tall and the ladder extended all the way measures 35 ft. Using the equation sinx=25 /35, we can find the angle at which to put the ladder. We find this angle to be 45.58
- Thankfully, nobody was in the building, but trigonometry made sure that we could do our job safely.
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