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Let y be the height of the houses, here AB = CD = y meter. Let x be the distance between the point on the road and the house making an elevation angle of 60°, here BE = x meter. Then, (30 - x) is the distance between the point on the road from the house making an elevation angle 30°, here DE = (30 - x) meter. Now, tan 60° = AB/BE ⇒ √3 = y/x ⇒ x = y/√3 ...(i) Also, tan 30° = CD/DE ⇒ 1/√3 = y/(30 - x) ⇒ √3y = 30 - x ⇒ √3y = 30 - y/√3 [from equation i] ⇒ 3y = 30√3 - y ⇒ 4y = 30√3 ⇒ y = 30√3/4 ≈ 12.9 meter
56237.05 + 10616.99 - 137.25 + 1795.33 = ?
119.98% of 80.02 - 15.12 × 2.02 + 19.95 = ?
The ratio of cost price to the marked price of an article is 5:8. The article had been marked above its cost price by Rs. 270. If the article was sold a...
What approximate value will come in place of the question mark (?) in the following question? (Note: You are not expected to calculate the exact value.)...
999.99 + 99.99 + 99= ?
5.55% of 8120 – 66.66% of 540 = ? – 28% of 5500
? = 22.08 + 13.99 × 22.07