Answer:
<em>∠I ≈ 53.13°</em>
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Step-by-step explanation:
It can be seen from the figure that IP is perpendicular to KP
=> So that IPK is the right-angled triangle with angel IPK equal to 90°
In a right-angled triangle, there is a formula as following:
<em>+) sin of an acute angel = length of opposite side/ length of hypotenuse</em>
In triangle IPK, ∠I is an acute angel, its opposite side is KP.
The hypotenuse of triangle IPK is IK
So that, we have:
<em>+) sin ∠I = KP/ IK = 8/10 = 0.8 </em>
<em>=> ∠I ≈ 53.13°</em>
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