Question

3.1.1 Represent the information above in the form of a diagram. 3.1.2 Calculate the height of the tower. 3.2 Solve the problems in each of the scenarios below. Show ALL the calculations. 3.2.1 If a scale on a map shows that 5 cm = 2 km, what would be the actual length of a line segment shown on a map as 24 cm? (5) 3.2.2 Calculate the value of in the diagram below. Provide the reason for the first mathematical statement. (5) F 21° 18 cm E (5) (5) X G 1201​

Answer 1

12

Explanation:

Clearly, the triangle BCD and triangle ABE are similar.

⇒

BE

BC

=

AB

BD

⇒

8

BC

=

10

5

⇒BC=4

⇒CE=CB+BE=4+8=12