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# A ladder resting on a vertical wall makes an angle whose tangent is 2…

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A. 1.2m

B. 9m

C. 1.3m

D. 1m

C

## DETAILS…

We would have to sketch this to know exactly what we're dealing with…

From the question, tan Θ = 2.4, therefore, Θ = tan¯¹2.4 = 67.38⁰

Now, to find the length of the ladder, we would have to apply SOHCAHTOA, that is, cos Θ = adjacent/hypotenuse = between the foot of the ladder and the wall / length of the ladder

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So, cos 67.38 = 50/ladder length

Therefore, ladder length = 50/cos 67.38 = 130cm

But observe that the answers were given in meters and not cm. converting, we have 130/100 = 1.3m

### Now for the right answer to the above question:

1. Option A is incorrect.
2. Option B is incorrect.
3. C is correct.
4. D is not the correct answer.

## KEY-POINTS…

• Use SOHCAHTOA for problems involving only right-angled .
• It is appropriate to firstly and quickly sketch problems like this to avoid mistakes.
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