From a fixed point on the ground, the distance to a

QUESTION:

From a fixed point on the ground, the distance to a certain tree is measured to be \(s=55.2 \pm 0.1 \mathrm{~m}\) and the angle from the point to the top of the tree is measured to be \(\theta=0.50 \pm 0.02 \text { radians}\). The height of the tree is given by \(&h=s\tan\theta\).

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 \(\theta\) to 0.01 radians?

Equation Transcription:

Text Transcription:

s=55.2{+/-}0.1 m

=0.50{+/-}0.02 radians

h=s tan theta