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

• Member
• Recent Posts

QuizTablet

Latest posts by QuizTablet (see all)

• Which of the following is the best…preparation of oxygen? - 09/30/2023
• At 27°C, 58.5g of sodium chloride is… - 09/30/2023
• At what rate would a sum of N100.00 deposited for 5 years raise an interest of N7.50? - 09/29/2023

A ladder resting on a vertical wall makes an angle whose tangent is 2.4 with the ground. If the distance between the foot of the ladder and the wall is 50cm, what is the length of the ladder?

A. 1.2m

B. 9m

C. 1.3m

D. 1m

QUICK ANSWER…

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 = distance between the foot of the ladder and the wall / length of the ladder

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…

You may please note these/this:

• Use SOHCAHTOA for problems involving only right-angled triangle.
• It is appropriate to firstly and quickly sketch problems like this to avoid mistakes.
• If you love our answers, you can login to comment and say hi to us at the comment section…

To raise new related questions, click the ASK A QUESTION BOTTON down this page…

/ culled from 2020 JAMB-UTME mathematics past question 16 /