iGCSE Mathematics (0580) :E6.2 Apply Pythagoras’ theorem.iGCSE Style Questions Paper 2

Question

Calculate the length of AC.
AC = ………………………………… cm

Answer/Explanation

4.8[0] or 4.802…

Question

Calculate the value of x.

Answer/Explanation

Ans: 23.2

Question


Calculate angle BAC.
Angle BAC = …………………………………………..

Answer/Explanation

Ans:

75.1 or 75.09 to 75.10

Question

The diagram shows a rectangular playground ABCD on horizontal ground.
A vertical flagpole CF, 6 metres high, stands in corner C.
AB = 18m and BC = 15m.
Calculate the angle of elevation of F from A.

Answer/Explanation

Ans: 14.4 or 14.36… 

Question

(a) Find the area of triangle ABC.
……………………………………… \(m^{2}\)
(b) Calculate AC

Answer/Explanation

(a)2.24
(b) 3.22 or 3.224 to 3.225

Question

The diagram shows a right-angled triangle.

Calculate the value of x.

x =  [2]

Answer/Explanation

Ans:

12 6.88 or 6.882 to 6.883

Question

                                   

Mahmoud is working out the height, $h$ metres, of a tower $B T$ which stands on level ground. He measures the angle $T A B$ as $25^{\circ}$.
He cannot measure the distance $A B$ and so he walks $80 \mathrm{~m}$ from $A$ to $C$, where angle $A C B=18^{\circ}$ and angle $A B C=90^{\circ}$.
Calculate
(a) the distance $A B$,

(b) the height of the tower, BT.

▶️Answer/Explanation

(a) 24.7
(b) 11.5

 

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