Josh has drawn a map of three destinations he wants to visit. What is the distance between destinations A and B

73.5

Step-by-step explanation:

Please find the complete question in the attached image

Remember the notation SOHCAHTOA

We would be using cos because we have been given the hypotenuse and we are to determine the adjacent value

cos 37 = adjacent / hypotenuse

cos 37 = adjacent / 92

0.7986 = adjacent / 92

adjacent = 0.7986 x 92 = 73.5

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.