Question

Ms. Trixonapriya wants to decorate her abode's frontage with a
tylangular lawn. The two sides of the lawn are of five and six meleys.
Subtending an angle of 30° if the lawn mainteaner charges Rs. 20 per Square meter, how much would Trikonapriya pay to him for the entire lawn? your answer should contain only the numeric value ______?​

Answer 1

Answer:

Answer is 75m

Step-by-step explanation:

Since the area is in Triangular form , Let's take.

Area = (a*b sin(c))  / 2

= (5*6 Sin 30)/2

=75 // by solving this you will get 75

Hope it helps :)

Answer 2

Given :- Ms. Trixonapriya wants to decorate her abode's frontage with a triangular lawn. The two sides of the lawn are of five and six meters. Subtending an angle of 30° if the lawn mainteaner charges Rs. 20 per Square meter, how much would Trikonapriya pay to him for the entire lawn? your answer should contain only the numeric value ______?

Solution :-

we know that, one length of two sides of a ∆ is let a and b, and angles between these two sides is θ, than area of ∆ is :-

• (1/2) * a * b * sinθ .

from image we have given that :-

• a = 5 m
• b = 6 m
• θ = 30° .

So,

→ Area of triangular lawn = (1/2) * 5 * 6 * sin 30°

→ Area of triangular lawn = 15 * sin 30°

→ Area of triangular lawn = 15 * (1/2)

→ Area of triangular lawn = 7.5 m².

Now, given that, the lawn mainteaner charges Rs. 20 per Square meter.

Therefore,

→ Cost of maintenance of 1m² = Rs.20

Than,

→ cost of maintenance of complete triangular lawn = (Area of triangular lawn) * cost per m². = 7.5 * 20 = Rs.150 (Ans.)

Hence, Trikonapriya has to pay him Rs.150 for the entire lawn.

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