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Answer: 240 m/s
Step-by-step explanation:
= 3600root3 * (root3 - 1/root3) /30
= 240
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The angle of elevation of a jet plane from a point A on the ground is 60°. After and flight of 30 seconds, the angle of elevation changes to 30°. If the jet plane is flying at a constant height of 3600√3m, find the speed of the jet plane.
- The speed of the jet plane
ʀᴇғᴇʀ ᴛʜᴇ ᴀᴛᴛᴀᴄʜᴍᴇɴᴛ ғɪʀsᴛ
∆ABP
tan60° = BP/AB
⟾ 360√3/AB
⟾ √3 = 3600√3/AB
⟾ AB = 3600
∆ACQ
tan30° = CQ/AC
⟾ 3600√3/AC
⟾ 1/√3 = 3600√3/AC
⟾ AC = 3600 × 3
⟾ 10800
AC = AB + BC
10800 - 3600 = BC = PQ
7200 = PQ
Speed = 7200/30
= 240
⛬ The speed of the jet plane = 240m/sec
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