The figure shows the location of 3 points around a lake. The length of the lake, BC, is also shown.

(Figure is not drawn to scale.)

Which of the following options is closest to the distance (in miles) between points A and B?

A)6.71 miles

B)7.35 miles

C)8.66 miles

D)10.82 miles

EDIT: THE ANSWER IS D

A

Step-by-step explanation:

9^2=6^2 + x^2

45= x^2

6.7082 = x

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.

no

step-by-step explanation: