Answer:
![\sin C\approx0.85\\\\\cos C \approx0.52\\\\\tan C\approx1.63](https://tex.z-dn.net/?f=%5Csin%20C%5Capprox0.85%5C%5C%5C%5C%5Ccos%20C%20%5Capprox0.52%5C%5C%5C%5C%5Ctan%20C%5Capprox1.63)
Step-by-step explanation:
According to the trigonometric ratios in aright triangle :
![\sin x =\dfrac{\text{Side opposite to x}}{\text{Hypotenuse}}\\\\\cos x =\dfrac{\text{Side adjacent to x}}{\text{Hypotenuse}}\\\\\tan x=\dfrac{\sin x}{\cos x}](https://tex.z-dn.net/?f=%5Csin%20x%20%3D%5Cdfrac%7B%5Ctext%7BSide%20opposite%20to%20x%7D%7D%7B%5Ctext%7BHypotenuse%7D%7D%5C%5C%5C%5C%5Ccos%20x%20%3D%5Cdfrac%7B%5Ctext%7BSide%20adjacent%20to%20x%7D%7D%7B%5Ctext%7BHypotenuse%7D%7D%5C%5C%5C%5C%5Ctan%20x%3D%5Cdfrac%7B%5Csin%20x%7D%7B%5Ccos%20x%7D)
Given: ΔBCA ~ ΔSTR
Since , corresponding angles of two similar triangles are equal.
So, ∠C = ∠T ...(i) [Middle letter]
In triangle STR
...(ii)
From (i) and (ii), we have
![\sin C\approx0.85\\\\\cos C \approx0.52\\\\\tan C\approx1.63](https://tex.z-dn.net/?f=%5Csin%20C%5Capprox0.85%5C%5C%5C%5C%5Ccos%20C%20%5Capprox0.52%5C%5C%5C%5C%5Ctan%20C%5Capprox1.63)
Answer:
A. 1 25/42
Step-by-step explanation: =-3 5/6 +5 3/7
= (-23/6)+ (38/7)
=(-161+228)/42
=-67/42
Answer: Rounded: 236 seconds
Not rounded: 236.07 seconds
Step-by-step explanation: We know that it takes the car 54.9 seconds to travel one mile, and we know that 1 times 4.3 is 4.3, so 4.3 times 54.9 equals 236.07 seconds.
Answer:
See below ~
Step-by-step explanation:
Given :
⇒ m∠1 = m∠2
⇒ HD = GF
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To Prove :
<u>Δ EHD ≅ Δ EGF</u>
<u />
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Solving :
⇒ m∠1 = m∠2 (Given)
⇒ HD = GF (Given)
⇒ ∠E = ∠E (Common angle)
⇒ ΔEHD ≅ ΔEGF (AAS congruence)