I think it would be A because that side looks double the size. Hope this helps!
Answer:
Therefore Based on the Figure only the third option i.e C. ic True
![\cos 28\° = \dfrac{17}{c}](https://tex.z-dn.net/?f=%5Ccos%2028%5C%C2%B0%20%3D%20%5Cdfrac%7B17%7D%7Bc%7D)
Step-by-step explanation:
Given:
Let label the figure first such that
In Δ ABC , ∠C = 90° , ∠ B = 62°,
![\sin 62\°=\dfrac{17}{c}](https://tex.z-dn.net/?f=%5Csin%2062%5C%C2%B0%3D%5Cdfrac%7B17%7D%7Bc%7D)
AB = Hypotenuse = c
AC = 17
To Find:
True Statements
Solution:
Triangle sum property:
In a Triangle sum of the measures of all the angles of a triangle is 180°.
![\angle A+\angle B+\angle C=180](https://tex.z-dn.net/?f=%5Cangle%20A%2B%5Cangle%20B%2B%5Cangle%20C%3D180)
Substituting the values we get
![\angle A +62+90=180\\\angle A=180-152=28\\\angle A=28\°](https://tex.z-dn.net/?f=%5Cangle%20A%20%2B62%2B90%3D180%5C%5C%5Cangle%20A%3D180-152%3D28%5C%5C%5Cangle%20A%3D28%5C%C2%B0)
In Right Angle Triangle ABC , Cosine Identity we have
![\cos A = \dfrac{\textrm{side adjacent to angle A}}{Hypotenuse}\\](https://tex.z-dn.net/?f=%5Ccos%20A%20%3D%20%5Cdfrac%7B%5Ctextrm%7Bside%20adjacent%20to%20angle%20A%7D%7D%7BHypotenuse%7D%5C%5C)
Substituting the values we get
![\cos 28\° = \dfrac{AC}{AB}=\dfrac{17}{c}\\\\\cos 28\°=\dfrac{17}{c}](https://tex.z-dn.net/?f=%5Ccos%2028%5C%C2%B0%20%3D%20%5Cdfrac%7BAC%7D%7BAB%7D%3D%5Cdfrac%7B17%7D%7Bc%7D%5C%5C%5C%5C%5Ccos%2028%5C%C2%B0%3D%5Cdfrac%7B17%7D%7Bc%7D)
Here in this figure
![\tan B = \dfrac{\textrm{side opposite to angle B}}{\textrm{side adjacent to angle B}}](https://tex.z-dn.net/?f=%5Ctan%20B%20%3D%20%5Cdfrac%7B%5Ctextrm%7Bside%20opposite%20to%20angle%20B%7D%7D%7B%5Ctextrm%7Bside%20adjacent%20to%20angle%20B%7D%7D)
![\sin A = \dfrac{\textrm{side opposite to angle A}}{Hypotenuse}\\](https://tex.z-dn.net/?f=%5Csin%20A%20%3D%20%5Cdfrac%7B%5Ctextrm%7Bside%20opposite%20to%20angle%20A%7D%7D%7BHypotenuse%7D%5C%5C)
Substituting we get
![\tan 62\° = \dfrac{17}{BC}](https://tex.z-dn.net/?f=%5Ctan%2062%5C%C2%B0%20%3D%20%5Cdfrac%7B17%7D%7BBC%7D)
![\cos 62\° = \dfrac{BC}{c}](https://tex.z-dn.net/?f=%5Ccos%2062%5C%C2%B0%20%3D%20%5Cdfrac%7BBC%7D%7Bc%7D)
![\sin 28\° = \dfrac{BC}{c}](https://tex.z-dn.net/?f=%5Csin%2028%5C%C2%B0%20%3D%20%5Cdfrac%7BBC%7D%7Bc%7D)
Therefore Based on the Figure only the third option i.e C. is True
![\cos 28\° = \dfrac{17}{c}](https://tex.z-dn.net/?f=%5Ccos%2028%5C%C2%B0%20%3D%20%5Cdfrac%7B17%7D%7Bc%7D)
You simply find 3/4 of 18, which is 13.5 inches.
Answer: The answer is 36. Hope you have a nice day.
There you go