The answer to the question
The length of AC is 16 km.
Solution:
Given data:
AB = c = 14 km, ∠A = 30° and ∠B = 89°
AC = b = ?
<u>Let us first find angle C:</u>
<em>Sum of all angles in a triangle = 180°</em>
m∠A+ m∠B + m∠C = 180°
30° + 89° + m∠C = 180°
119° + m∠C = 180°
Subtract 119° from both sides, we get
m∠C = 61°
<u>To find the length of AC:</u>
<em>Using sine formula:</em>

Substitute the given values in the formula.

Multiply by sin 89° on both sides.



The length of AC is 16 km.
The given expression written in the simplest rational exponent form is 
<h3>Writing an Expression in Exponent form</h3>
From the question, we are to write the given expression in exponent form
The given expression is
![\sqrt{x} \times \sqrt[4]{x}](https://tex.z-dn.net/?f=%5Csqrt%7Bx%7D%20%20%5Ctimes%20%5Csqrt%5B4%5D%7Bx%7D)
In exponent form,

and
![\sqrt[4]{x} = x^{\frac{1}{4} }](https://tex.z-dn.net/?f=%5Csqrt%5B4%5D%7Bx%7D%20%3D%20x%5E%7B%5Cfrac%7B1%7D%7B4%7D%20%7D)
Thus,
becomes

Applying the multiplication law of indices, we get

= 
Hence, the given expression written in the simplest rational exponent form is 
Learn more on Writing an expression in exponent form here: brainly.com/question/4421494
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Answer:

Step-by-step explanation:
By Inscribed Angle Theorem, the value of an inscribed angle enclosed by an arc is the half the value of that arc.
⇒ ∠RPQ = 108°/2
⇒ ∠RPQ = 54°