Please help with both questions thank youđź™‚

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# Answer

ChiefKiasu

Let me try…

16.

tan XAB = XB/AB = 1.5/3.5 => Angle XAB = 23.19859

Note Angle XAB = Angle XAP

Triangle XAP is a right-angled triangle because it circumscribes a semicircle.

So angle XPB = 180-90-XAP = 66.8014

tan XPB = XB/BP = 1.5/BP

=> BP = 1.5/tan XPB = 0.6429

So radius of circle = 3.5+0.6429 = 4.1429

Radius = 4.1429/2 = 2.0714 #

17.

tan 37 = h/(20+x)

=> h = 0.7536(20 + x)

tan 52 = h/x

=> h = 1.2799x

So, 0.7536(20 + x) = 1.2799x

=> 0.5263x = 15.072

=> x = 28.6377

Therefore, h = 1.2799 x 28.6377 = 36.6533 #

Mazda12345

Hi may I ask what is XAP â€śpâ€ť? Where is p? Thank you! đźŚ¸

ChiefKiasu

Sorry. P is directly below B, on the circumference of the circle.Â So BP is the small little part we need to compute in order to find the diameter of the semi circle.

Mazda12345

okk thank you :3

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