4. Patty is 50 mi. due north of Todd. Emma is due east of Todd. If a line were d

Question

4. Patty is 50 mi. due north of Todd. Emma is due east of Todd. If a line were drawn from Emma point 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? O Emma is about 40 mi. from Patty and about 60 mi from Todd. Emma is about 60 mi-from Patty and about 78 mi·from Todd. O Emma is about 78 mi. from Patty and about 50 mi. from Todd. O Emma is about 78 mi from Patty and about 60 mi. from Todd. S. A 15 ft telephone pole has a wire that exterds from the top of the pole to the ground. The wire (1 point and the ground form a 42 angle. How long s the wire, and what is the distance from the base of the pole to the spot where the wire touches the ground? O length of wire s 22 4 ft, distance s16.7 ft length of wire #16.7 ft , d stances 22 4 ft. length of wire ss 20 2 ft distance ss 22.4 ft length of wire ~ 16 7 ft.. distance 20.2 ft Finish Cancel

Explanation / Answer

4) distance between Todd and patty = 50 miles

a right angle triangle is formed between Todd , Emma and patty

so applying tan rule on the right angled triangle

tan 40 = 50 / x

x = 50 / tan 40

x = 60 miles

sin 40 = 50 / h

h = 78 miles

so distance between Emma and todd is 60 miles and distance between Emma and Patty is 78 miles

last option is correct

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