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May 2, 2018

#1
+2

1)

Let the height of the TV = H

16 / 9 = 50 / H     cross multiply

16H =9 x 50

16H =450            divide both sides by 16

H = 28.1 inches - the height of the TV.

2) I'm not sure which "leg" you want, since a right triangle has 2 legs!! At any rate:

Cos(45) = Adjacent leg / Hypotenuse

1/sqrt(2) = Adjacent leg / 12              cross multiply

Adjacent leg = 12 / sqrt(2)

Sin(45) =Opposite leg / Hypotenuse

1/sqrt(2) = Opposite leg / 12            cross multiply

Opposite leg =12 / sqrt(2)

Note: You got 2 legs for the price of one!!! Notice that they exactly the same because this is an isoscelles right triangle.

6)

Sin(F) = 96 / 100 =0.96

Sin(G) = 28 / 100=0.28

7)

Student A is correct, because we know the angle and the opposite side to that angle:

Sin(35) = 12 / x

0.57358 = 12 / x        cross multiply

0.57358x =12            divide both sides by 0.57358

x =12 / 0.57358

x =20.92

8)

Sin(31) = Height of the slide / 4.3

0.515 =Height / 4.3                cross multiply

Height =4.3 x 0.515

Height =2.21 m - the height of the slide.

May 2, 2018
#2
+156
+1

Thank you so much!!! I appreciate the help!!

mathelp  May 2, 2018