# Side tan 49 h400 400 tan 49 h 4601 ft 1 find the

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Side; Tan 49° = h/400 400 Tan 49° = h = 460.1 ft 1. Find the angle of elevation of the sun when a 12.5 ft post casts a 18 ft shadow? Angle; Tan x° = 12.5/18 x = Tan –1 (12.5/18) = 34.78° 1. A ladder leaning up against a barn makes an angle of 78° with the ground when the ladder is 5 feet from the barn. How long is the ladder? Side; Cos 78° = 5/L L = 5/Cos 78° = 24.05 ft 1. From the top of the 120 foot fire tower a ranger observes a fire at an angle of depression of 19°. How far from the base of the tower is the fire? Side; Tan 19° = 120/d d = 120/Tan 19° = 348.5 ft 1. A hill is 1000 yards long with a vertical drop of 208 yards. Find the angle of depression from the top of the hill to the bottom. Angle; Tan x° = 208/1000 x = Tan –1 (208/1000) = 11.75°

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Quiz 2 Need-to-Know Sin ( angle ) = Opposite / Hypotenuse Cos ( angle ) = Adjacent / Hypotenuse Tan ( angle ) = Opposite / Adjacent To find an angle use inverse Trig Function Trig Fnc -1 (some side / some other side) = angle To Solve Any Trig Word Problem Step 1: Draw a triangle to fit problem Step 2: Label sides from angle’s view Step 3: Identify trig function to use Step 4: Set up equation Step 5: Solve for variable Θ Angle of Elevation or of Depression angle goes here x 33° 25 z
Summary & Homework Summary: Trigonometry can be used to solve problems related to angles of elevation and depression Angle always goes in lower left corner Homework: pg xxx, 5, 6, 8, 9, 17-19
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