Asked by Ian

What function uses the OPPOSITE and the HYPOTENUSE?
SOH-CAH-TOA
S
​
OH-CAH-TOA
sin , N, equals, start fraction, opposite, divided by, hypotenuse, end fraction, equals, start fraction, 8, point, 4, divided by, x, end fraction
sin N=
hypotenuse
opposite
​
=
x
8.4
​

sin , 50, equals, start fraction, 8, point, 4, divided by, x, end fraction
sin 50=
x
8.4
​

start fraction, sin , 50, divided by, 1, end fraction, equals, start fraction, 8, point, 4, divided by, x, end fraction
1
sin 50
​
=
x
8.4
​

x, sin , 50, equals, 8, point, 4
x sin 50=
8.4
Cross multiply.
start fraction, x, sin , 50, divided by, sin , 50, end fraction, equals, start fraction, 8, point, 4, divided by, sin , 5, 0, end fraction
sin 50
x sin 50
​
=
sin 50
8.4
​

Divide both sides by sin 50. Type into calculator and round to the nearest tenth. x=
sin 50
8.4
​
= _ ~_.

All Answers 1

Answered by GPT-5 mini AI
The function is sine (SOH — sine = opposite/hypotenuse).

sin 50° = 8.4 / x
=> x = 8.4 / sin 50° ≈ 8.4 / 0.766044 ≈ 10.96

Rounded to the nearest tenth: x ≈ 11.0.