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in the figure below, BCA ~ STR. Find cos T, sin T, and tan T. Round your answers to the nearest hundredth. ​

in the figure below, BCA ~ STR. Find cos T, sin T, and tan T. Round your answers to-example-1
User Abc Cba
by
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2 Answers

1 vote

Answer:

cos T = 14.8/21.9 = about .68

sin T = 16.2/21.9 = about .74

tan T = 16.2/14.8 = about 1.09

User Leggetter
by
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In triangle STR, with sides ST = 21.9, TR = 14.8, and SR = 16.2, sin T is 0.73, cos T is 0.67, and tan T is 1.09.

We are given that triangle BCA ~ triangle STR which means that BC = ST CA = TR and BA = SR and angle B = angle S , angleC = angleT and angle A = angle R.

We need to find the values of cos T, sin T, and tan T.

First we will find the values of sides of triangle STR

which are ST = 21.9 = BC

TR = 14.8 = CA and SR = 16.2 = AB .

Now that we have found the values of sides we can find the value of trigonometric ratios.

First we will find the value of

Sin T = perpendicular / hypotenuse

= SR / ST

= 16.2 / 21.9

= 0.73

CosT = base / hypotenuse

= RT / ST

= 14.8 / 21.9

= 0.67

TanT = perpendicular / base

= SR / RT

= 16.2 / 14.8

= 1.09

So , according to out calculations the value of sinT is equal to 0.73 , cosT = 0.67 and tanT = 1.09

User Dnclem
by
8.0k points

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