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Phantasy [73]
3 years ago
9

A weather balloon is at an altitude where the temperature is 3º C. The balloon ascends 900 ft with a decrease in temperature of

5º C. The balloon then ascends again with a decrease in temperature of 3º C. What is the final temperature?
Mathematics
1 answer:
igor_vitrenko [27]3 years ago
8 0

Answer:

Answer is -5°C.

Step-by-step explanation:

Initial temperature = 3°C

First decrease in temperature = 5°C

Second decrease in temperature = 3°C

Balloon ascend  = 900 ft

Total change in temperature = 3-5-3 = -5

Thus final temperature = -5°C

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Answer:

Let

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let y=tan-¹v

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Substituting

Sin[x + y]

Applying the sine expansion

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Recall x =Sin-¹u

y=tan-¹v

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Now at this point

Here's what you do

For the first expression

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Let's simplify this

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Since Sine from SOHCAHTOA is OPP/HYP

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You have

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taking tan of both sides

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Since Tan from SOHCAHTOA is OPP/ADJ

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so Cos(Sin-¹u) = CosP

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Now onto the next

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compiling our answers

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