Question

"A 5-meter ladder is leaning against the wall of a house. The foot of the ladder on the ground is 1.5 meters from the wall. What angle measures does the ladder make with the wall?"

Answer 1

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$\large \bold{✞ \: Problem \: ✞}:$

"A 5-meter ladder is leaning against the wall of a house. The foot of the ladder on the ground is 1.5 meters from the wall. What angle measures does the ladder make with the wall?"

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$\large \bold{✞ \: Solution \: ✞}:$

✰ Step 1 ✰: Identify what is asked in the problem.

• ❒ The angle formed by the ladder with the wall.

✰ Step 2 ✰: Use appropriate trigonometric ratio to solve the problem.

$\quad\qquad \large\tt{ \: \: \: \: \: \: Sine \: ratio} \\ \quad \qquad \large \bigstar \: \: \boxed{\tt { \: \: \sin A= \frac{1.5}{5} \: \: }}$

✰ Step 3 ✰: Solution and interpretation.

$: \qquad \large \implies \tt{ \sin A = \frac{1.5}{5} }$

$: \qquad \large \implies \tt{A = \sin^{ - 1} ( \frac{1.5}{5}) }$

$: \qquad \large \implies \tt{A = 17.46 \approx \pmb{17 \degree} }$

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$\large \bold{✞ \: Answer \: ✞}:$

❒ The angle formed by the ladder with the wall is approximately 17°.

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$\large \bold{✰ \: MrHarold \: ࿐}$