Step 1: Write the formula for range
The formula to find the range
R when a body is projected is:
R=‌Step 2: Put in the given values
Here,
R=180√3m,u=60m∕s, and
g=10m∕s2.
Step 3: Arrange the formula to find
sin‌2θsin‌2θ=‌Step 4: Substitute the values
‌sin‌2θ=‌‌sin‌2θ=‌=‌Step 5: Identify the angle for
sin‌2θWe know that
sin‌60∘=‌.
So,
2θ=60∘θ=30∘Step 6: Check for other possible angles
The range at angle
θ is the same as at
90∘−θ.
So, the angle of projection can be
30∘ or
60∘.
