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

let x be the money she spent so that she can earn the free t-shirt.

since, she already spent $112.49

⇒

also, as per the statement: jennifer must spend $250 or more in order to qualify for a free t-shirt at the store.

then,

we have an inequality i.,e

subtract 112.49 from both sides we get;

therefore, $137. 51 more money does jennifer need to spend so that she can earn the free t-shirt

3

step-by-step explanation:

in standard form:

a= dictionaries

b= maps

you have to buy 3 dictionaries, so put a 3 next to the a (dictionaries) so that you can multiply them by each other.

a3+b= 60 (the amount of money you have)

we already know the cost of a=15 so replace a with $15

($15 x 3)+b=60

multiply 15 and 3 to get $45 and replace it with $45

45+b=60

and then replace b with 15 to get the total:

45+15=60

that means you have $15 left after buying 3 dictionaries.

15 divided by the cost of a map ($5) equals 3.

so you can buy 3 maps.

sorry if it was confusing!