Question

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Answer 1

Answer:

9m

Step-by-step explanation:

use pythagoras

(15)^2 = (12)^2 + (x)^2

225 = 144 + x^2

therefore

x^2 =81

x =9m

therefore height = 9m

Answer 2

★ Questions.

→ the slope of the rafter isn15m . half the ru. of the rafter measure 12m . find the height of the ridge from the base.

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★ Solution.

→by using Pythagoras theorem.

$\longrightarrow Ac^{2}= AB^{2}+BC^{2} \\ \longrightarrow 12^{2}= 15^{2}Bc^{2} \\ \longrightarrow 144=225+BC^{2} \\ \longrightarrow Bc^{2}=225-144\\ \longrightarrow Bc^{2}=81 \\ \longrightarrow Bc=\sqrt{81} \\ \longrightarrow Bc=9cm$