Reader DC Math 1123 Assess Complete the following problems S

Reader DC Math 1123 Assess Complete the following problems, Show all necessary work. Empirical and Quantitative Reasoning 1. Convert the angle measure 74° 32 15\" to decimal degree form. Critical Thinking 2. A guy wire runs from a cell tower to the ground. The wire is attached to the tower 162 ft above the ground. The angle formed by the wire with respect to the ground is 48 How long is the guy wire? Give the answer to the nearest tenth of a foot. \" 6 fo boc 0

Solution

1)

1minute =1_/60degree ,1second =1_/60minute =1_/3600degree

74^o32\'15\"=(74+(32_/60)+(15_/3600))^o

74^o32\'15\"=(5963_/80)^o

74^o32\'15\"=74.5375^o

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2)

sin48^o =162_{/length of guy wire}

=>length of guy wire =162_/sin48^o

=>length of guy wire =162_{/0.74314482547739423501469704897426}

=>length of guy wire =218

guy wire is 218.0 feet long