1. Which of the following values best approximates the length of c in triangle A

Question

1. Which of the following values best approximates the length of c in triangle ABC where Ca 90°, b-12, and B- 15 point) O cN 3.105s O c N12.4233 0 44 7846 O cw 46.3644 2. In triangle ABC, find B, to the nearest degree, given a-7,b 10, and C is a right angle. (2 potnt) 0 44° 46 3. Solve the right triangle ABC with right angle Cif B-30 and c 10. ( potmt) oa-5. ; 6602.4-60 a 8.6602.b-5A-60 4. Patty is 50 mi due north of Todd. Emma is due east of Todd. If a line twere dram from Emma 2 pont) to Todd and from Emma to Patty, the angle formed would measure 40 degrees. To the nearest mile. how far is Emma from each person? B.

Explanation / Answer

C = 90 deg

b = 12

B = 15 deg

applyig law of sines on the triangle

c / sin 90 = 12 / sin 15

c = 12 / sin 15 * sin 90

c = 46.3644

last option is correct

2) a = 7 , b = 10 , C = 90 degrees

applying law of cosines to find c

c = sqrt ( 7^2 + 10^2 )

c = 12.20655

now applying law of sines on the triangle

10 / sin B = 12.20655 / sin 90

B = 55 degrees

last option is correct

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