Answer:
my answer would be that
x = 17.91cm
(i'm not sure about it either but it's worth a try) !!
Step-by-step explanation:
so first off, using the equation given,
" c² = a² + b² — 2ab cos C "
we substitute the values in as,
a = 16
b = 30
then for C is the angle given, which is 30°
so the equation is now,
c² = (16)² + (30)² — 2(16)(30) cos 30°
now, you solve the two squared numbers and the back equation, also known as " 2ab cos C " with your scientific calculator.
so it now equals to,
c² = 256 + 900 — 960(0.87)
c² = 320.8
at last, when you have " c² = 320.8 " ,
remember to square root the answer so you have a smaller value.
so,
c equals to
your final answer for the x value will be 17.91
(i hope this helps!)
We are given dimensions of model and actual figure.
model: 9.5cm actual : 30.5m.
We need to find the length of actual shape for the scale factor 5cm.
Let us assume actual length be x m.
Let us set a proportion now.
<h3>5 : x = 9.5 : 30.5</h3>Let us convert proportion into fractions.
On cross multiplying, we get
9.5x = 5× 30.5
9.5x = 152.5.
On dividing both sides by 9.5, we get
x=16.05.
<h3>Therefore, the scale factor for a model is 5cm= 16.05 m.</h3>