Question

WILL GIVE BRAINLIEST TO THE BEST CORRECT ANSWER!!!!!!! The people of Bridgetown wanted to build a bridge across a nearby river. Since they were poor swimmers, their master Trigonomos agreed to measure the width of the river without actually crossing it. Trigonomos spotted a tree across the river and marked the spot directly across from it. Then he walked to another point 10 meters down the river and found that the angle between his side of the river and the line connecting him to the tree was 40º. What is the width of the river in meters? Round your final answer to the nearest hundredth.

Answer 1

Answer:

The width of the river is about 8.39 m.

Step-by-step explanation:

Tan = Opposite/Adjacent

The width of the river is the side of a right triangle opposite the angle of 40°. The 10 m distance is the length of the side adjacent to the measured angle. So, we have ...

tan(40°) = width/(10 m)

Multiplying by 10 m, we get ...

width = (10 m)tan(40°) ≈ 8.39 m

The width of the river is about 8.39 m.