Question

ABC is a right-angled triangle. Calculate the length of AB. Give your answer correct to 2 decimal places.

Diagram is there too as I couldn't fit the question in. ​

Answer 1

Answer:

10.83

Step-by-step explanation:

Answer 2

The length of AB to 3 decimal places is 10.83 cm

The given figure is a right triangle

From the triangle, we are given the following parameters

AC = 18cm

m<C = 38 degrees

we need to get the length of AB

Using the SOH CAH TOA identity

$sin \theta = \frac{opposite}{hypotenuse} \\sin 37 = \frac{AB}{18}\\AB = 18 sin37\\AB =18(0.6018)\\AB =10.832cm$

Hence the length of AB to 3 decimal places is 10.83 cm

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