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 1 5 1515 meters down the river and found that the angle between his side of the river and the line connecting him to the tree was 7 6 ∘ 76 ∘ 76, degree. what is the width of the river? round your final answer to the nearest hundredth.

width of the river is 60.16 m

Step-by-step explanation:

Refer the attached figure

AB = width of river

We are required to find the width of river .

Since we are given that . Trigonomos spotted a tree across the river and marked the spot directly across from it.

Then he walked to the another point  15 meters down the river .i.e. BC = 15 m

He also found the angle between his side of the river and the line connecting him to the tree  i.e. ∠ACB = 76°

So, now to calculate the width of river i.e. AB , we will use trigonometric ratio

Thus the width of the river is 60.16 m

idk

step-by-step explanation:

your victory is right around the corner. never give up.

- niki minaj

1 number

if we use a graphing calculator, there is only one such number that satisfies the conclusion of the mean value theorem, that is, a number such that

where the right-hand side is the average rate of change of f on the interval [0.5,0.75], which is the slope of the secant line.

in the attached graph, the black line is the secant line which has its slope as the average rate of change of f on [0.5,0.75], while the orange line is the only tangent line to the graph of f in the interval that satisfies the mvt conclusion.