A ladder kept inclined at an angle of 40° with a distance of 8 feet from the building touches the building at some height. If the same ladder is kept at a distance of 6 feet with an inclination of 50° then find the height at which the ladder touches the building.
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Step-by-step explanation:
Case1:
Let the height at which the inclined ladder at an angle of 40° with the ground, touches the building be “h” feet. (As shown in the figure below).
Distance between the foot of the ladder and the building = 8 feet
According to the right-angled trigonometric ratio, we have
tan θ = (height of the building) / base
⇒ tan 40° = h / 8
⇒ h = 8 * 0.839 = 6.712 feet ….. (i)
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