Height, shadow (horizontal distance) and angle of elevation: find the missing one with tan
This type of question, asked 4 times: 17 Jul 2023 S4, 17 Sep 2025 S1, 18 Sep 2025 S2, 19 Sep 2025 S1. All 4 questions below, oldest first.
Try each one first, then open its answer.
Question 1
17 Jul 2023 S4
56A person standing at a distance looks at a building having a height of 1000 metres. The angle between the top of the building and the ground is . At what approximate distance (in metres) is the person standing away from the building.Tap an option to check your answer.
Question 2
17 Sep 2025 S1
59A flagpole has a shadow measuring 10 meters. Given that the height of the flagpole is meters, What is the angle at which the sun is elevated?Tap an option to check your answer.
Question 3
18 Sep 2025 S2
65A tower generates a shadow that is 40 meters long when the sun's angle of elevation is 45 degrees. What is the height of the tower?Tap an option to check your answer.
Question 4
19 Sep 2025 S1
59A tower is 20 meters tall. What is the length of the shadow cast by the tower when the sun's elevation is ?Tap an option to check your answer.