Angle of Elevation and Depression Lesson 7.5 Angle of Elevation and Depression

eye - level

eye - level

eye - level

eye - level

eye - level

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

eye - level

eye - level

eye - level

eye - level

eye - level

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

eye - level eye - level

The angles are equal – they are alternate angles eye - level eye - level

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

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

x

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

H.W (3 – 11) all page 373, 374

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

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) = 264000 ft 10,000 ft x = 2.17o

5) 7.6 m xo 18.2 m

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8) 7o 12.5o 75 m lake

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10) xo Angle of depression 500 m xo 11 km

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