In trapezium ABCD, the height CH is drawn. Find the angle ACH if AH = 8√2, AC = 16
| May 16, 2021 | education
We calculate the value of ∠АСН through one of the trigonometric functions of this angle (sine).
The sine of ∠АСH is equal to the quotient of dividing the length of the segment AH – the leg of a right triangle
ACH by the length of its side AC, which is the hypotenuse of the specified triangle:
АН / АС = sinus ∠АСН.
AH: AC = 8√2: 16 = sine ∠ACH = √2 / 2.
√2 / 2 is a 45 ° sine. That is, ∠АСН = 45 °.
Answer: ∠АСН = 45 °.
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