Unit 1B Test version 1 12 of 12
POSSIBLE POINTS 8.33
A little ditty about Jack and Diane, two American kids growing up in the heartland on a farm. They are trying to estimate the height of a tree on their farm
They know Jack is 5.5 feet tall and casts a shadow that is 4 feet long. The tree is casting a shadow that is 18 feet long. How tall is the tree?
a Write a proportion to represent this situation
Proportion
b. Solve the proportion you wrote.
"If necessary, round your answer to one decimal place
Answer
3 4 5 6 7 8 9 10 11 12
Review

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.

hello i am doing good for you that it's summer in your country or state ; )

btw in my country we just have sun and rain as (because i live in the caribbean lol)

also, thx a lot for the points : )