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 15 meters down the river and the line connecting him to the tree was 76 degrees what is the width of the river?

60.2 m

Step-by-step explanation:

Let x represent the width of the river.  The distance from the point across from the tree to the second point is 15 m.  The angle from this point to the tree across the river is 76°.

This makes the side opposite the angle x, the width of the river.  It also means the 15 m side is adjacent to this angle.

The ratio opposite/adjacent is the ratio for tangent; this gives us the equation

x/15 = tan(76)

Multiply both sides by 15:

15(x/15) = 15(tan(76))

x = 15(tan(76)) ≈ 60.2

answer

a,b, and d

explanation

a reflection angle is more than

but less than;

an angle that measures

is a reflex angle.(true)

an angle that measures less than

is acute.(true)

provided we are considering angles greater or equal to zero.

an acute angle lies in the range.

an obtuse angle is less than 180° but more than 90°

an angle that measures 300° is obtuse (false)

an angle that measures 65° is an acute angle.(true)

step-by-step explanation:

de-gf

hj=3x+20

ji=15x-64