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A surveyor measures the distance across a straight river by the following method (Fig. P1.6). Starting directly across from a tree on the opposite bank, she walks $...

Question

A surveyor measures the distance across a straight river by the following method (Fig. P1.6). Starting directly across from a tree on the opposite bank, she walks $d=100 \mathrm{~m}$ along the riverbank to establish a baseline. Then she sights across to the tree. The angle from her baseline to the tree is $\theta=35.0^{\circ} .$ How wide is the river?

A surveyor measures the distance across a straight river by the following method (Fig. P1.6). Starting directly across from a tree on the opposite bank, she walks $d=100 \mathrm{~m}$ along the riverbank to establish a baseline. Then she sights across to the tree. The angle from her baseline to the tree is $\theta=35.0^{\circ} .$ How wide is the river?



Answers

WIDTH OF A RIVER


A biologist wants to know the width $w$ of a river so that instruments for studying the pollutants in the water can be set properly. From point $A$, the biologist walks downstream 100 feet and sights to point $C$ (see figure). From this sighting, it is determined that $\theta = 54^\circ$. How wide is the river?


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