Given that x = 7.4 m and 0 = 26°, work out AB rounded to 3 SF. B
o
A
С
x х
The diagram is not drawn accurately.
AB =
m​

3.24m

Step-by-step explanation:

SOH

sin(26)=O/7.4

O=7.4 sin(26)

O=3.24 (3sf)

Shania is correct.

Step-by-step explanation:

For a right angled triangle, given two sides and an angle, we can use the sine rule or the various trigonometry identities to solve the triangle;

a/sin A = b/sinB

and

sin (angle) = opposite side/hypotenuse

cos (angle) = adjacent side/hypotenuse

tan (angle) = opposite/ adjacent

assuming a is the opposite side of angle A and b is also opposite of angle B

Otherwise, the only way to solve a triangle given two sides only is by the use of the Pythagoras theorem.

Hence, Shania is correct.