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**Angle of Elevation and Depression**

Lesson 7.5 Angle of Elevation and Depression

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eye - level

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eye - level

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eye - level

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eye - level

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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. eye - level

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eye - level

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eye - level

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eye - level

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eye - level

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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. eye - level

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eye - level eye - level

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**The angles are equal – they are alternate angles**

eye - level eye - level

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**A Tree Casts A Shadow 87 Feet Long**

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) x 50o 87

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**S O H C A H T O A Step1: label the names of the sides.**

x Opposite Step2: Choose the ratio that contains BOTH letters. Adjacent S O H C A H T O A Opposite tan (50) = Adjacent x tan (50) = 87 x = 103.7 ft

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x

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**S O H C A H T O A Step1: label the names of the sides.**

Adjacent 10o 120 ft x Opposite Step2: Choose the ratio that contains BOTH letters. S O H C A H T O A Opposite tan (10) = Adjacent 120 tan (10) = x x = 185.1 ft

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H.W (3 – 11) all page 373, 374

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**Practice and apply .. page 373**

3) Name the angles of elevation and depression in the figure Answer The angle of elevation is angle TBP The angle of depression is angle FPB

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**4) S O H C A H T O A Answer Opposite Adjacent 20,000 ft xo 10,000 ft**

tan (xo) = Adjacent xo 20,000 ft 10,000 ft 50 miles tan (xo) = ft 10,000 ft x = 2.17o

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5) 7.6 m xo 18.2 m

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8) 7o 12.5o 75 m lake

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9)

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10) xo Angle of depression 500 m xo 11 km

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

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Geometry tan A 20 21 === opposite adjacent BC AC tan B 21 20 === opposite adjacent AC BC Write the tangent ratios for A and B. Lesson 8-3 The Tangent Ratio.

Geometry tan A 20 21 === opposite adjacent BC AC tan B 21 20 === opposite adjacent AC BC Write the tangent ratios for A and B. Lesson 8-3 The Tangent Ratio.

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