In the figure, what is the value of sin D · sin E?

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Solution

Q.
The government plans to build ramp-like walls as boundary protection around a sensitive area. These walls are being constructed to reinforce the region’s boundary. The government has specified that the walls should have a height of 6 m above ground level with an inclination of approximately $30 degree.$

Based on the given information, answer the questions given below:

(iii) (a) In the figure, what is the value of sin D · sin E

1 $\frac{\sqrt{3}}{2}$

2 $\frac{\sqrt{- 3}}{2}$

3 $\frac{\sqrt{3}}{1}$

4 $\frac{\sqrt{3}}{4}$

Ans.
(1)

$s i n D = \frac{E F}{D F} = \frac{6 \sqrt{3}}{12} = \frac{\sqrt{3}}{2} a n d s i n E = 1 (as ∠ E = 90 °) N o w, s i n D \cdot s i n E = (\frac{\sqrt{3}}{2}) \cdot 1 = \frac{\sqrt{3}}{2}$

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