Exercise 41 To measure the width of a river, you plant a stake on one side of the river, directly across from a boulder.
You then walk 100 meters to the right of the stake and measure a 79° angle between the stake and the
boulder. What is the width w of the river? Round your answer to the nearest meter.
Mattraimale
079
100 m
PUR
m

514 m = width of the river to the nearest meter

Step-by-step explanation:

You must memorize the definitions of the trig functions and then these types of problems are easy.

You have a right triangle where the 100 m is the adjacent side to the 79° angle.  You are looking for the side opposite the 79° angle.  So, you need to use the tan function which is defined as opposite side/adjacent side

Let x = the length of the opposite side (width of river)

Tan 79 = x/100

100 tan 79 = x

x = 514 m = width of the river to the nearest meter

option a, c,d are correct.

step-by-step explanation:

from the given figure, it is given that z is equidistant from the sides of the triangle rst, then from triangle tzb and triangle szb, we have

tz=sz(given)

bz=zb(common)

therefore, by rhs rule,δtzb ≅δszb

by cpctc, sz≅tz

also, from δctz and δasz,

tz=sz(given)

∠tcz=∠saz(90°)

by rhs rule, δctz ≅ δasz, therefore by cpctc, ∠ctz≅∠asz

also,from δasz and δzsb,

zs=sz(common)

∠zbs=∠saz=90°

by rhs rule, δasz ≅δzsb, therefore, by cpctc, ∠asz≅∠zsb

hence, option a, c,d are correct.

41*67/2=1373.5

step-by-step explanation:

i just used a calculator