Q: A is 8km due north of phone mast B. C is 9.5km due west of phone mast B. Calculate the distance AC
1 answer:
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Answer:
Correct choices are a, b, e
Step-by-step explanation:
As per diagram, the circles are equal.
<u>Since the distance AB is the radius of both circles:</u>
- AB = AC = BC = BD = AD = r
<u>So the answer choices:</u>
a. AC = BC
- Correct, both equal to r
b. AC = BD
- Correct, both equal to r
C. CD = AB
- Incorrect. Half of CD is the leg of 30-60-90 triangle and is equal to r√3/2, so CD = AB√3
d. ABCD is a square
- Incorrect. ACBD is rhombus
e. ABD is an equilateral triangle
- Correct, all three sides are equal to r
f. CD = AB + AB
- Incorrect as CD = AB√3
