a second truck arrives whose ladder, when extended,is 30 meters long. the base of this ladder is also 4 metres above the ground.

Question

2 years ago

11

for safety reasons, the max angle of elevation that the ladder can make is 70%

1 answer:

Lapatulllka [165] · Answer 1 · 2022-06-13T14:00:29+03:00

Answer: The maximum height of the wall that can be reached by the ladder on the second truck = 58.19 meters

Step-by-step explanation:

A diagram for the given situation is attached.

To find: AC

In right triangle ABF,

$\dfrac{AB}{AE}=\sin 70^{\circ}\\\\\Rightarrow\ \dfrac{AB}{30}=0.9397\\\\\Rightarrow\ AB=30\times0.9397\approx 28.19$

Now AC = AB + BC = 28.19 + 30 meters = 58.19 meters

Therefore, the maximum height of the wall that can be reached by the ladder on the second truck = 58.19 meters