24. Think About a Plan Two office buildings are 51 m apart. The height of the taller building is 207 m. The angle of depression from the top of the taller building to the top of the shorter building is 15 ° . 15 degrees . Find the height of the shorter building to the nearest meter.
    • How can a diagram help you?
    • How does the angle of depression from the top of the taller building relate to the angle of elevation from the top of the shorter building?

Algebra The angle of elevation e from A to B and the angle of depression d from B to A are given. Find the measure of each angle.

25. e : ( 7 x − 5 ) ° , d : 4 ( x + 7 ) ° e colon open 7 x minus 5 close degrees comma d colon 4 , open x plus , 7 close degrees
26. e : ( 3 x + 1 ) ° , d : 2 ( x + 8 ) ° e colon open 3 , x plus , 1 close degrees comma d colon 2 , open x plus , 8 close degrees
27. e : ( x + 21 ) ° , d : 3 ( x + 3 ) ° e colon , open x plus , 21 close degrees comma d colon 3 , open x plus , 3 close degrees
28. e : 5 ( x − 2 ) ° , d : ( x + 14 ) ° e colon 5 open x minus 2 close degrees comma d colon , open x plus , 14 close degrees

29. Writing A communications tower is located on a plot of flat land. The tower is supported by several guy wires. Assume that you are able to measure distances along the ground, as well as angles formed by the guy wires and the ground. Explain how you could estimate each of the following measurements.

    

    1. the length of any guy wire
    2. how high on the tower each wire is attached

Flying An airplane at a constant altitude a flies a horizontal distance d toward you at velocity v. You observe for time t and measure its angles of elevation ∠ E 1 angle , e sub 1 and ∠ E 2 angle , e sub 2 at the start and end of your observation. Find the missing information.

30. a = □  mi  , v = 5  mi/min , t = 1  min  , m ∠ E 1 = 45 , m ∠ E 2 = 90 eh equals , white square , mi , comma , v equals , 5 , mislashmin , comma , t equals , 1 , min , comma m angle , e sub 1 , equals 45 comma m angle , e sub 2 , equals 90
31. a = 2  mi  , v = □  mi/min , t = 15 s , m ∠ E 1 = 40 , m ∠ E 2 = 50 eh equals , 2 , mi , comma , v equals , white square , mislashmin , comma , t equals , 15 s comma m angle , e sub 1 , equals 40 comma m angle , e sub 2 , equals 50
32. a = 4  mi  , d = 3  mi  , v = 6  mi/min , t = □  min  , m ∠ E 1 = 50 , m ∠ E 2 = □ eh equals , 4 , mi , comma , d equals , 3 , mi , comma , v equals , 6 , mislashmin , comma , t equals , white square , min , comma m angle , e sub 1 , equals 50 comma m angle , e sub 2 , equals white square

33. Aerial Television A blimp provides aerial television views of a football game. The television camera sights the stadium at a 7 ° 7 degrees angle of depression. The altitude of the blimp is 400 m. What is the line-of-sight distance from the television camera to the base of the stadium? Round to the nearest hundred meters.

    

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