In ΔRST, the measure of ∠T=90°, the measure of ∠S=75°, and ST = 97 feet. Find the length of TR to the nearest tenth of a foot.

9514 1404 393

  TR = 362.0 ft

Step-by-step explanation:

The tangent relation is useful for this.

 Tan = Opposite/Adjacent

 tan(75°) = TR/ST = TR/(97 ft)

  TR = (97 ft)(tan(75°))

  TR ≈ 362.0 ft

use the power rule  

( a b ) n = a n b n

to distribute the exponent.

apply the product rule to  

3 x 2 y 3 . ( 3 x 2 ) 2 ( y 3 ) 2

apply the product rule to  

3 x 2 . 3 2 ( x 2 ) 2 ( y 3 ) 2

raise  

3

to the power of  

2 . 9 ( x 2 ) 2 ( y 3 ) 2 multiply the exponents in   ( x 2 ) 2

.

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 2 ⋅ 2 ( y 3 ) 2

multiply  

2   by   2 . 9 x 4 ( y 3 ) 2

multiply the exponents in  

( y 3 ) 2 .

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 4 y 3

⋅

2

multiply  

3   by   2 . 9 x 4 y 6

step-by-step explanation:

answer: 177/8

step-by-step explanation: