Trigonometry is hard someone help Please :)

Mathematics

1 answer:

vlada-n [284]3 years ago

7 0

<h3>Answer: Approximately 35.54 degrees</h3>

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Explanation:

With respect to reference angle x, the 5 is the opposite side, and the adjacent side is 7 units long.

We'll use the tangent ratio here

tan(angle) = opposite/adjacent

tan(x) = 5/7

x = arctan(5/7)

x = 35.5376777919743 approximately

x = 35.54

I rounded to two decimal places, but you can round however you need to or however your teacher instructs. Arctangent is the same as inverse tangent. Be sure that your calculator is in degree mode.

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The difference of two numbers is 90 and their quotient is 10

bija089 [108]

To solve this, set up two equations using the information you're given. Let's call our two numbers a and b:
1) D<span>ifference of two numbers is 90
a - b (difference of two numbers) = 90

2) The quotient of these two numbers is 10
a/b (quotient of the two numbers) = 10

Now you can solve for the two numbers.
1) Solve the second equation for one of the variables. Let's solve for a:
a/b = 10
a = 10b

2) Plug a =10b into the first equation and solve for the value of b:
a - b = 90
10b - b = 90
9b = 90
b = 10

3) Using b = 10, plug it back into one of the equations to find the value of a. I'll plug it back into the first equation:
a - b = 90
a - 10 = 90
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Answer: The numbers are 100 and 10</span>

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4 years ago

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morpeh [17]

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3 years ago