Question

PART 1:

In the diagram below, ΔRST is a right triangle, write the equation you would use to solve for side RT. (For example, cos20 = 13/x )

PART 2:
Using the equation you wrote above, solve for side RT and round your answer to the nearest tenth.

Answer 1

`(a)\ \sin(46) = (8)/(RT)`

`(b)\ RT = 11.1`

Explanation:

Given

The attached triangle

Solving (a): Equation to determine RT

To do this, we apply sine formula

`\sin(\theta) = (Opposite)/(Hypotenuse)`

This gives:

`\sin(46) = (8)/(RT)`

Solving (b): Solve the equation

`\sin(46) = (8)/(RT)`

Make RT the subject

`RT = (8)/(\sin(46))`

`RT = (8)/(0.7193)`

`RT = 11.1`