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2 years ago

3d trigenomatry , need help , with step by step working please

Mathematics

1 answer:

Law Incorporation [45]2 years ago

4 0

The angle you want - call it θ - is such that

tan(θ) = FC / AC

Find the length of the diagonal AC, i.e. a diagonal of the rectangle ABCD. ABC forms a right triangle with legs AB = 70 and BC = 50, so

AC² = AB² + BC²

→ AC = √(70² + 50²) = 10 √74

Find FC using the given angle of the sloping face:

tan(30º) = FC / BC

→ 1/√3 = FC / 50

→ FC = 50/√3

Now solve for θ :

tan(θ) = (50/√3) / (10 √74)

→ tan(θ) = 5/√222

→ θ ≈ 18.6º

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