Question

Question 1

Answer 1

Answer:

1)x=21.33

2)Height of tree is 20 m

Step-by-step explanation:

Question 1

ΔABC ≈ΔADE

Property of similar triangles :Corresponding sides of similar triangles are all in the same proportion

So,$\frac{AB}{AD}=\frac{BC}{DE}\\\frac{AB}{AB+BD}=\frac{BC}{DE}\\\frac{12}{12+6}=\frac{x}{32}\\\frac{12}{18}=\frac{x}{32}\\\frac{12}{18} \times 32 =x\\21.33=x$

Question 2: Find the height of tree

ΔDEF ≈ΔDHI

Property of similar triangles :Corresponding sides of similar triangles are all in the same proportion

So,$\frac{DE}{DH}=\frac{EF}{HI}\\\frac{3}{30}=\frac{2}{HI}\\HI=\frac{2 \times 30}{3}\\HI=20$

Hence The height of tree is 30 m