Two points on opposite sides of a tower at 30 and 45 degrees: distance between them or the height
This type of question, asked 4 times: 18 Sep 2025 S1, 18 Sep 2025 S3, 24 Sep 2025 S3, 26 Sep 2025 S2. All 4 questions below, oldest first.
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Question 1
18 Sep 2025 S1
60A man standing on the top of a 120 m high tower observes the angles of depression of two cars on opposite sides of the tower to be and . What is the distance between the two cars?Tap an option to check your answer.
Question 2
18 Sep 2025 S3
60An airplane flying at a height of 300 m notices the angles of depression to two boats located on opposite sides as and . Find the distance between the two boats.Tap an option to check your answer.
Question 3
24 Sep 2025 S3
54Two ships positioned on opposite sides of a lighthouse observe the angles of elevation to the top of the lighthouse, which are and respectively. Given that the height of the lighthouse is 100 meters, determine the distance between the two ships.Tap an option to check your answer.
Question 4
26 Sep 2025 S2
54The angles of elevation of the top of a cliff from two points on the ground, 200 m apart, and on opposite sides of the cliff, are and . What is the height of the cliff?Tap an option to check your answer.