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March 24th, 2015 You will need to pick up the following items:
White boards Markers Please have out your warm-up papers and your homework out.
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Warm-Up Write the 3 ratios for angle A.
Find the measurement of angle A.
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TRIG WORD PROBLEMS
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1. A firefighter on the ground sees fire break through a window near the top of the building. There is voice contact between the ground and firefighters of the roof. The angle of elevation to the top of building is 42°. The firefighter is 75ft from the building and her eyes are 5ft above the ground. What roof-to- windowsill distance can she report to the firefighters on the roof?
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2. Meteorology: One method that meteorologist could use to find the height of a layer of clouds above the ground is to shine a bright spotlight directly up onto the cloud layer and measure the angle of elevation from a known distance away. Find the height of the cloud layer in the diagram to the nearest 10m.
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3. A 60ft high lighthouse stands on top of a cliff
3. A 60ft high lighthouse stands on top of a cliff. The angles of elevation to the bottom and top of lighthouse measure 39 and 43, respectively. Find the distance of the boat from the base of cliff.
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4. Use the Picture below to answer the questions:
a. A navigator at A observes the measure of the angle of elevations to the top of the cliff to be 15°. This measure changes to 26° at B. If the height of the cliff is known to be 750 m, how far has the boat moved to get from point A to point B? b. Write the formula for AB in terms of m < , m < 2 and h. c. If the distance AB= 1,500m, m < 1=19°, and m < 2 = 28°, how high is the cliff?
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5. A building 200ft tall casts a 155-ft shadow
5. A building 200ft tall casts a 155-ft shadow. Find the angle of elevation of the sum.
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6. A 20ft ladder is leaning against a wall
6. A 20ft ladder is leaning against a wall. The foot of the ladder forms an angle of measure 65° with the ground. How far, to the nearest foot, is the top of the ladder from the ground?
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7. A tree 50ft high cast a 35ft shadow
7. A tree 50ft high cast a 35ft shadow. Find, to nearest degree, the measure of the angle of elevation of the sum.
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8. A plane is flying over level ground at an altitude of 900m
8. A plane is flying over level ground at an altitude of 900m. When the pilot sights a landing field, the measure of the angle of depression is 27°. Find the distance, to the nearest meter, from the point on the ground directly under pilot to the landing field.
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