A rectangular wardrobe of height 1.5 m and depth 0.5 m rests against a wall, making an angle of 48∘ to the horizontal (see the figure below).
What is the vertical height OP? Give your answer correct to 3 significant figures.
[Answer format: 0.00 m]
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The ladder and the building make right triangle. The wall of the building is the cathetus of this triangle which is opposite to the angle 73\degree73°. The length of the another cathetus is 2m2m. Thus, by the definition of the tangent, obtain the height of the building:
h= 2m\cdot \tan 73\degree \approx 6.54mh=2m⋅tan73°≈6.54m
Answer. 6.54 m.
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