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Nina [5.8K]
4 years ago
12

Could someone just explain how to solve this for the two sides? We learned 30 60 90 triangles not 29 61 90 triangles

Mathematics
1 answer:
natta225 [31]4 years ago
5 0

Step-by-step explanation:

Use SOH-CAH-TOA.

Sine = Opposite / Hypotenuse

Cosine = Adjacent / Hypotenuse

Tangent = Opposite / Adjacent

Side a is adjacent to the 29° angle, and 14 is opposite of the 29° angle.  So use tangent:

tan 29° = 14 / a

a = 14 / tan 29°

a ≈ 25.3

Side c is the hypotenuse, and 14 is opposite of the 29° angle.  So use sine:

sin 29° = 14 / c

c = 14 / sin 29°

c ≈ 28.9

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Given:

Number is 96.45.

To find:

The expression that has a value of 96.45.

Solution:

In option a,

0.9645\times 10^2=0.9645\times 100

0.9645\times 10^2=96.45

In option b,

9.645\div 10^1=\dfrac{9.645}{10}

9.645\div 10^1=0.9645\neq 96.45

In option c,

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In option d,

9645\div 10^3=\dfrac{9645}{1000}

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Therefore, the correct option is a.

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3 years ago
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