CBSE Class 10 Maths (Basic) 2025 · Paper 430/4/1 · Question 38

Some Applications of Trigonometry 4 marks Medium

Rahim and Nadeem are two friends whose plots are adjacent to each other. Rahim's son made a drawing of the plots with necessary details, as shown in the figure:

C D ⊥ A B

D

GF ⊥ A B

G

and

E H ⊥ A B

H

;

∠ F A B = 4 5^{\circ}

∠ A C D = 6 0^{\circ}

∠ D B C = 4 5^{\circ}

and

∠ H B E = 3 0^{\circ}

;

B H = 40

H D = 10

D G = 40

GF = 38

F E = 53

m and

A F = 53.58

m. It is decided that Rahim will fence the triangular plot

A B C

and Nadeem will fence along the sides

A F

F E

and

E B

. Observe the diagram carefully and answer the following questions. (Use

2 = 1.41

and

3 = 1.73

)

Rahim's plot (triangle ABC) and Nadeem's fence line A–F–E–B, with perpendiculars GF, CD and EH to AB.

(i)Find length $B C$ .[1]
(ii)Find length $A G$ .[1]
(iii)(a)Calculate the perimeter of $△ A B C$ .[2]
(iii)(b)OR — Calculate the length of $(A F + F E + E B)$ .[2]

Answer

(i)

B C = 70.5

m; (ii)

A G = 38

m; (iii)(a) Perimeter of

Δ A B C = 288.46

m; (iii)(b)

A F + F E + E B = 152.71

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CBSE Class 10 Maths (Basic) 2025 · Paper 430/4/1, Question 38 — all 38 questions with answers →

CBSE Class 10 Maths (Basic) 2025 · Paper 430/4/1 · Question 38

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