A , B and C form a triangle where ∠ B A C = 90 ∘ . A B = 0.5 mm and B C = 15.4 mm. Find the length of A C , giving your answer rounded to 1 decimal place.

15•4 mm

Step-by-step explanation:

using sine rule

a÷ sinA=c ÷sinC

15•4÷sin90=0•5÷sinC

sinC =0•5 × sin90 ÷ 15•4

C =1•9°

A+B+C= 180

90+B+1•9=180

B= 88•2°

b÷sinB = a÷sinA

b÷sin88•2= 15•4÷sin90

b=sin88•2 ×15•4 ÷sin90

b =15•39

to 1 dp

b =15•4 mm

110cm

Step-by-step explanation:

With the slice, we know that we need to find the area of a triangle with a base of 10cm and a height of 22cm.

Let 10 be x and 22 be y.

Substitute this into the equation for finding the area of a triangle.

Which now becomes

Which now becomes

Now solve.

Your answer is 110cm.

Hope this helps. Have a nice day. Oh, and one more thing. Surprised that I'm not stealing points?