Question

Question1

1.1
1.
In the diagram below, ABC, ACD and ADE are right-angled triangles.
BAE -90° and BAC = 30°, BC= 20 units and AD= 60 units.
A
B
30°
34.54
60
20
Calculate the length of AC.
E
(3)
(2)

Answer 1

To find the length of AC in the given diagram, you can use trigonometry since you have a right-angled triangle ABC with angle BAC equal to 30 degrees and the length of BC equal to 20 units.

You can use the sine function since you have the opposite side (AC) and the hypotenuse (BC). The formula for the sine function is:

sin(angle) = opposite / hypotenuse

In this case:

sin(30°) = AC / 20

To find AC, rearrange the formula:

AC = 20 * sin(30°)

Now, calculate AC:

AC = 20 * 0.5
AC = 10 units

So, the length of AC is 10 units.