# Step 2 label sides from angles view step 3 identify

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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 Use inverse trig functions for an angle angle goes here Θ This is the height (above the ground) or depth This is the length of string or distance This is the distance from the base or along the ground

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Example 1 Before the Mast: At a point on the ground 50 feet from the foot of the flagpole, the angle of elevation to the top of the pole is 53°. Find the height of the flagpole. 53° Step 1: Draw a triangle to fit problem 50 h Step 2: Label sides from angle’s view adj opp Step 3: Identify trig function to use S O / H C A / H T O / A Step 4: Set up equation h tan 53° = ----- 50 Step 5: Solve for variable 50 tan 53° = h = 66.35 feet
Example 2 Job Site A 20-foot ladder leans against a wall so that the base of the ladder is 8 feet from the base of the building. What angle does the ladder make with the ground? Step 1: Draw a triangle to fit problem 8 20 Step 2: Label sides from angle’s view adj hyp Step 3: Identify trig function to use S O / H C A / H T O / A Step 4: Set up equation 8 cos x° = ----- 20 Step 5: Solve for variable cos -1 (8/20) = x = 66.42°

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Example 3 CIRCUS ACTS At the circus, a person in the audience watches the high-wire routine. A 5-foot-6-inch tall acrobat is standing on a platform that is 25 feet off the ground. How far is the audience member from the base of the platform, if the angle of elevation from the audience member’s line of sight to the top of the acrobat is 27°? 27° Step 1: Draw a triangle to fit problem x 30.5 = 25 + 5.5 Step 2: Label sides from angle’s view adj opp Step 3: Identify trig function to use S O / H C A / H T O / A Step 4: Set up equation 30.5 tan 27° = ------- x Step 5: Solve for variable x tan 27° = 30.5 x = (30.5) / (tan 27°) x = 59.9
Example 4 DIVING

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