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aev [14]
2 years ago
5

Solve each equation for θ, where 0° < θ < 90°. Answer correct to the nearest minute.

Mathematics
1 answer:
Assoli18 [71]2 years ago
5 0

Answer:

Below in bold.

Step-by-step explanation:

sin θ = 4 cos θ

Note that tan θ = sin θ / cos θ so we

Divide both sides by cosθ:

tan θ = 4

θ = 75.96

= 75 degrees 58 minutes.

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Question:

Abel planned for a garden to be 42 m long but found that it needs to be 24 m long to fit in his backyard. He found the change of scale below.

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Which is Abel’s error?

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Answer:

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Step-by-step explanation:

Given

Measured Length of backyard = 42m

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Required

Error in calculation of measured ratio

From Abel's calculation:

It can be observed that He divided both numbers by 7

Though 42/7 = 6 but that's not so for 24/7

24/7≠4;

Instead 24/7 = 3.43 (Approximated)

To get the actual ration, he has to divide both numbers by the highest common factor

The common factors of 42 and 24 include 2,3,6 of which the highest is 6

Hence; HCF of 42 and 24 = 6

So, we can conclude that the error in his calculation is having not dividing both numbers by 6

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