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Vika [28.1K]
3 years ago
15

A 98% confidence interval is found to be (50, 60). What is the margin of error?

Mathematics
1 answer:
miss Akunina [59]3 years ago
3 0

Answer:

D. 5

Step-by-step explanation:

Mean: (50+60)/2

110/2

55

Margin of error:

60 - 55

5

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At : a.m. the angle of elevation of the sun for one city is . If the height of a monument is approximately , what is the length
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This question is incomplete, the complete question;

At 11:30 a.m. the angle of elevation of the sun for one city is 55.7°. If the height of a monument is approximately 555 ft, what is the length of the shadow it will cast at that time? Round to the nearest foot.

Answer:

the length of the shadow will be 379 ft

Step-by-step explanation:

Given the data in the question and as represented in the diagram below;

height of monument = 555 ft

angle of elevation = 55.7°

From the image below, this makes a right angled triangle

we know that the some of the interior angles of a triangle is 180

so

∠ABC + ∠BCA + ∠CAB = 180°

90° + 55.7° + ∠CAB  = 180°

∠CAB = 180° - 145.7°

∠CAB = 34.3°

Now, using sine rule;

BC / sinA = AB / sinC

so we substitute

BC / sin( 34.3°) = 555 / sin( 55.7° )

BC / 0.563526 = 555 / 0.826098

we cross multiply

BC × 0.826098 = 0.563526 × 555

BC × 0.826098 = 312.75693

BC = 312.75693 / 0.826098

BC = 378.595 ≈ 379 ft

Therefore, the length of the shadow will be 379 ft

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Answer:

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Step-by-step explanation:

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