1
NDA Mathematics 4 September 2022
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language
ABC is a triangular plot with AB = 16 m, BC = 10 m and CA = 10 m. A lamp post is situated at the middle point of the side AB. The lamp post subtends an angle 45° at the vertex B.

What is the height of the lamp post ?

A
6 m
B
7 m
C
8 m
D
9 m
2
NDA Mathematics 4 September 2022
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language
ABC is a triangular plot with AB = 16 m, BC = 10 m and CA = 10 m. A lamp post is situated at the middle point of the side AB. The lamp post subtends an angle 45° at the vertex B.

What is $\frac{\text{AB}}{\sin \text{C}}$ equal to ?

A
17 m
B
$​\frac{50}{3}$ m
C
$​\frac{40}{3}$ m
D
16 m
3
NDA Mathematics 4 September 2022
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language
ABC is a triangular plot with AB = 16 m, BC = 10 m and CA = 10 m. A lamp post is situated at the middle point of the side AB. The lamp post subtends an angle 45° at the vertex B.

What is cos A + cos B + cos C equal to ?

A
1
B
$\frac{41}{25}$
C
$\frac{37}{25}$
D
$\frac{33}{25}$
4
NDA Mathematics 4 September 2022
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language
There are two points P and Q due south of a leaning tower, which leans towards north. P is at a distance x and Q is at distance y from the foot of the tower (x > y). The angles of elevation of the top of the tower from P and Q are 15° and 75° respectively.

At what height is the top of the tower above the ground level ?

A
$\frac{\text{x−y}}{2\sqrt{3}}$
B
$\frac{\text{x−y}}{4\sqrt{3}}$
C
$\frac{\text{x−y}}{4}$
D
$\frac{\text{x−y}}{2}$
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