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MATH III

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PROBLEM #1 At the road upon going to school, Charisse spots her two other classmates behind her; Rabelle and Anne. The angle from Rabelle to Charisse is found to be 43°, and the distance between Anne and Rabelle is 5 meters. How far is Charisse from Anne?

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5m ? 43° Anne Charisse Rabelle

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5m ? 43°

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tanθ = opposite adjacent SOLUTION: tan(43 °) = ? 5m tan(43 °)(5m) = ? 4.66257545m = ? 4.66m = ? > Charisse is 4.66m away from Anne. ANSWER:

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PROBLEM #2 Mae who is 1.5m tall, saw her classmate at the second floor of the building which is 4.2m away from her. If the angle of elevation from Mae’s head to her classmate’s head is 49°, what is the height from the 1st floor to the 2nd floor of the said building, if the height of her classmate is 1.7m?

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1.5m 1.7m 4.2m ? 39 ° x

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1.7m 4.2m ? 39 ° x

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SOLUTION: tanθ = opposite adjacent y__ 4.2m tan(49°) = tan(49°)(4.2m) = y y = 4.83m

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To get the height from the 1 st floor to the 2 nd floor: ( y – the height of her classmate) + Mae’s height = height from 1 st to 2 nd floor ( 4.83m – 1.7m ) + 1.5m = height from 1 st to 2 nd floor 4.63m = height from 1 st to 2 nd floor

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> The height of the 1 st floor to the 2 nd of the certain building is 4.63m. Answer:

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Lady Dia Beley Hannavi Eballena Cherry Mae Fuentes Lynnie Charisse Mahinay Lyxa Rabelle Regalado Anna Marie Suminguit

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