From a fixed point on the ground, the distance to a certain tree is measured to be s 55 2 0 1 m and the angle from the point to the top of the tree is measured to be 0 50 0 02 radians The height of the tree is given by h s tan a Estimate h, and find the uncertainty in the estimate b Which would pro...

a s 552 q 050 s 01 002 h s tan 301559 b If s 0 ...

From a fixed point on the ground, the distance to a certain tree is measured to be

Question:

From a fixed point on the ground, the distance to a certain tree is measured to be s = 55.2 ± 0.1 m and the angle from the point to the top of the tree is measured to be θ = 0.50 ± 0.02 radians. The height of the tree is given by h = s tan θ.
a. Estimate h, and find the uncertainty in the estimate.
b. Which would provide a greater reduction in the uncertainty in h: reducing the uncertainty in s to 0.05 m or reducing the uncertainty in θ to 0.01 radians?