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24 votes
Find a.

Round to the nearest tenth:
2 cm
с
150
1050
a =
= [? ]cm

Find a. Round to the nearest tenth: 2 cm с 150 1050 a = = [? ]cm-example-1
User Muky
by
3.7k points

1 Answer

6 votes

Answer:

a = 1.8 cm

Explanation:

Here. we want to find the value of a

To do this, we are going to use the sine rule

it states that the ratio of a side and the sine of the angle that faces the side is a constant for all the sides of a triangle

From the diagram, we have that;

The angle facing a is;

180-15-105 = 60

So, we have that

a/sin 60 = 2/sin 105

a = 2sin 60/sin 105

a = 1.794 cm

User Angel Naydenov
by
3.6k points