Find the value 'x', if: - Mathematics

Find the value 'x', if:

योग

BEDC is a rectangle.
⇒ BE
= DC
= $60 \sqrt{3} m$
In right ΔAEB,

tan30° = $\frac{AE}{BE}$

⇒ $\frac{1}{\sqrt{3}} = \frac{AE}{60 \sqrt{3}}$
⇒ AE = 60m
Now,
x = AD = AE + ED
= 60 + 15
= 75m.

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Trigonometric Equation Problem and Solution

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अध्याय 27: Trigonometrical Ratios of Standard Angles - Exercise 27.2

अध्याय 27 Trigonometrical Ratios of Standard Angles
Exercise 27.2 | Q 9.6

If 2 sin x° - 1 = 0 and x° is an acute angle; find:

If 2 cos 2A = $\sqrt{3}$ and A is acute,
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(iii) sin² (75° - A) + cos² (45° +A)

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