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denis-greek [22]
3 years ago
11

NEED HELP NOWAngles not necessarily drawn to scale

Mathematics
1 answer:
ahrayia [7]3 years ago
6 0

Answer:

x = 45 degrees

Step-by-step explanation:

Opposite adjacent angles are congruent

160 - x = 115

x = 45

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In the figure below, BCA ~ STR. Find cos C, sin C, and tan C. Round your answers to the nearest hundredth.
arsen [322]

Answer:

\sin C\approx0.85\\\\\cos C \approx0.52\\\\\tan C\approx1.63

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}

Given:  ΔBCA ~ ΔSTR

Since , corresponding angles of two similar triangles are equal.

So, ∠C = ∠T                            ...(i)    [Middle letter]

In triangle STR

\sin T=\dfrac{\text{Side opposite to T}}{\text{Hypotenuse}}\\\\=\dfrac{26.4}{30.9}\approx0.85\\\\\cos x =\dfrac{\text{Side adjacent to T}}{\text{Hypotenuse}}\\\\=\dfrac{16.2}{30.9}\approx0.52\\\\\tan T=\dfrac{\sin T}{\cos T}\\\\=\dfrac{0.85}{0.52}\approx1.63  ...(ii)

From (i) and (ii), we have

\sin C\approx0.85\\\\\cos C \approx0.52\\\\\tan C\approx1.63

4 0
4 years ago
(7-3)x(9-2)= what I am stuck help me
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mrs_skeptik [129]

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