Question

The length of the shadow of a tower is 9 metres when the sun's angle of elevation is 30°. What is the height of the tower ?​

Answer 1

5.196m

Step-by-step explanation:

Hope the attached answer helps

Answer 2

Answer:

✪ Given :-

• The length of the shadow of a tower is 9 m and the angle of elevation is 30°.

✪ To Find :-

• What is the height of the tower ?

✪ Solution :-

⋆ Let, AB is the height of the tower.

➙ tan30° = $\dfrac{AB}{BC}$

⇒ $\dfrac{1}{√3}$ = $\dfrac{AB}{9}$

⇒ AB = $\dfrac{9}{√3}$

⇒AB = $\dfrac{√3 × √3 × 3}{√3}$

➠ AB = 3$\sqrt{3}$ m

$\therefore$ The height of the tower is $\sf\boxed{\bold{\large{3\sqrt{3}}}}$

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