PDF chapter test TRY NOW
1. Verify \(sin \ 30^{\circ} \ cos \ 60^{\circ} + cos \ 30^{\circ} \ sin \ 60^{\circ} = sin \ 90^{\circ}\).
Proof:
LHS: \(sin \ 30^{\circ} \ cos \ 60^{\circ} + cos \ 30^{\circ} \ sin \ 60^{\circ} =\)
RHS: \(sin \ 90^{\circ} =\)
Since LHS \(=\) RHS, then \(sin \ 30^{\circ} \ cos \ 60^{\circ} + cos \ 30^{\circ} \ sin \ 60^{\circ} = sin \ 90^{\circ}\).
Hence, we proved.
2. Find the angle made by a ladder of length \(5 \ m\) with the ground, if one of its end is \(4 \ m\) away from the wall and the other end is on the wall.
Answer:
The angle made by the ladder \(=\)
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