NUS High Y2 Problems

NUS High Y2 Chapter 5 Q25

The figure alongside shows a pyramid ABCD that has a horizontal triangular base BDC, such that BD = 7 cm and DC = 12 cm. A lies 5 cm vertically above D.

Find

(a) the length of BC, in cm,

(b) BAC, in degree,

(c) the area of ΔBAC, in cm2.

Given that M is the midpoint of BC, find the angle between the line AM and the plane BCD, in degree (Click on the Green Square in the diagram below).

To view in AR Mode, click here to access the file and open the file in Geogebra's 3D Calculator (Apple) (Android).

NUS High Y2 Chapter 5 Q26

The figure shows a prism that has a horizontal square base of side 8 cm.

Point A is 4 cm vertically above B.

Given that QM = 3 cm and NC = 2 cm, calculate

(a) the area of ΔBMN, in cm2,

(b) the angle between line AM and the plane QBCR, in degree.

To view in AR Mode, click here to access the file and open the file in Geogebra's 3D Calculator (Apple) (Android).

Scan this QR Code to get to this page.