Question

PART 1:

Answer 1

Answer:

$(a)\ \sin(46) = \frac{8}{RT}$

$(b)\ RT = 11.1$

Step-by-step explanation:

Given

The attached triangle

Solving (a): Equation to determine RT

To do this, we apply sine formula

$\sin(\theta) = \frac{Opposite}{Hypotenuse}$

This gives:

$\sin(46) = \frac{8}{RT}$

Solving (b): Solve the equation

$\sin(46) = \frac{8}{RT}$

Make RT the subject

$RT = \frac{8}{\sin(46)}$

$RT = \frac{8}{0.7193}$

$RT = 11.1$