(i dont know how to put the degree symbol so instead i use the * symbol)
1.At a distance 100m from a building, the angle of elevation of the top of the building is 50*, how tall is the building?
2.The window of a house is 15m above the ground, how long must a ladder be in order to reach the window if the angle of elevation is 60*?
+33654 To see how to enter the degree symbol have a look at the answer here: http://web2.0calc.com/questions/how-to-enter-a-degrees-symbol#r1
+130466 For the first one, we can use the tangent to solve. We know an angle and an adjacent side to the angle. We are looking for the opposite side. So......
tan(50) = opposite/100 multiply both sides by 100
100tan(50) = opposite ≈ 119.18 m
For the second one, we are looking for the ladder length (the hypoteneuse). We know an angle and the opposite side. The thing that relates all three of these is the sine. So we have..
sin(60) = 15/x where x is the hypoteneuse (the ladder length).....rearranging, we have...
x = 15/sin(60) ≈ 17.32 m
And that's it !!!
+33654 To see how to enter the degree symbol have a look at the answer here: http://web2.0calc.com/questions/how-to-enter-a-degrees-symbol#r1
