Gavin and Brianna want to know how far a mountain peak is from their houses. They measure the angles between the line of sight to the peak and to each other’s houses and carefully make the drawing shown. The actual distance between Gavin and Brianna’s houses is 1.5 miles. a. What is the actual distance of the mountain peak from Gavin’s house? Round your answer to the nearest tenth of a mile.
b. What is the actual distance of the mountain peak from Brianna’s house? Round your answer to the nearest tenth of a mile.

factory fight onjueujiiko Julio

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.

1. d.90

2. e. none of these (80)

3. a. 0

4. b. 6

5. e. none of these (10)

6. a. 5