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3 years ago

Please help me find out the process to find y for the first three questions and tell me what y is

Mathematics

1 answer:

Sliva [168]3 years ago

7 0

Answer:

1. y = 14.718

2. ??

3. y = 39.794°

Step-by-step explanation:

HINT the side we already know and the side we are trying to find, we use the first letters of their names and the phrase "SOHCAHTOA" to decide which function:

SOH...

Sine: sin(θ) = Opposite / Hypotenuse

...CAH...

Cosine: cos(θ) = Adjacent / Hypotenuse

...TOA

Tangent: tan(θ) = Opposite / Adjacent

1. Sine: sin(θ) = Opposite / Hypotenuse

sin(42°) = y / 22

so on your calculator enter 42 then sin = 0.669

0.669 = y/22 multiply both sides by 22 to get y

y = 14.718

2. is there any other information??

3. The two sides we know are Opposite 40 and Adjacent 48.

SOHCAHTOA tells us we must use Tangent.

Calculate Opposite/Adjacent = 40/48 = 0.833

Find the angle from your calculator using tan-1

Tan y° = opposite/adjacent = 40/48 = 0.833

tan-1 of 0.833 = 39.794°

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Joey and Armando live on the same st as the park. The park is 9/10 mile from Joey's home. Joey leaves home and walks to Armando'

AleksandrR [38]

Let's start by assuming Armando's house is between Joey's and the park.

Let $x$ be the distance Joey walked to Armando's house.

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Let $a, b, c$ be the distances between three collinear points like we have here. Our equation is really a few equations in one, something like

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Let's get rid of the plus/minuses. Squaring,

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I'll skip right to the solutions,

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We could have gotten the 3/2 just by adding 9/10+3/5 but this was more fun.

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netineya [11]

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