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Angle of Elevation and Depression Lesson 7.5

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eye - level

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The angle between the original line of sight (eye-level) and the new line of sight is known as the angle of elevation because I have to lift up or elevate my eye in order to see the object.

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eye - level

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The angle between the original line of sight (eye-level) and the new line of sight is known as the angle of depression because I have to look down in order to see the object.

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eye - level

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The angles are equal – they are alternate angles

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A Tree Casts A Shadow 87 Feet Long. If the Angle Of Elevation From The Ground To The Top Of The Tree is 50°, Find The Height Of The Tree. ( round to the nearest tenth ) 50 o 87 x

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Opposite Adjacent S O H C A H T O A 50 o 87 ft x tan (50) = 87 tan (50) = x ft Step1: label the names of the sides. Step2: Choose the ratio that contains BOTH letters. Opposite Adjacent x =

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x

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Opposite Adjacent S O H C A H T O A 10 o 120 ft x tan (10) = x ft Step1: label the names of the sides. Step2: Choose the ratio that contains BOTH letters. Opposite Adjacent x =

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H.W (3 – 11) all page 373, 374

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3) Name the angles of elevation and depression in the figure Practice and apply.. page 373 Answer The angle of elevation is angle TBP The angle of depression is angle FPB

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4) 10,000 ft 20,000 ft 50 miles xoxo Answer S O H C A H T O A tan (x o ) = ft tan (x o ) = 10,000 ft 2.17 o Opposite Adjacent x =

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5) 7.6 m 18.2 m xoxo

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8) lake 75 m 7o7o 12.5 o

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10) 500 m 11 km xoxo xoxo Angle of depression

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11) Sledding run 300 yards Vertical drop 27.6 yards xoxo xoxo

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