Question

a guard observe an enemy boat from an observation tower at a height of 180 metre above sea level to be at an angle of depression of 29° (1) calculate to the nearest metre the distance of the boat from the foot of the observation tower second(2) After sometime it is observed that the boat is 200 m from the foot of the observation tower calculate the new angle of depression induced (HINT:tables to find tan 29°)
pls help me out​

Answer 1

Answer:

324.73 m

41.99°

Step-by-step explanation:

Tan 29°   = Height of Tower / Distance of boat from foot

=> 0.5543  = 180/Distance of boat from foot

=> Distance of boat from foot = 324.73 m

distance of the boat from the foot of the observation tower  = 324.73 m

Tan α   = Height of Tower / Distance of boat from foot

=> Tan α   = 180/ 200

=> Tan α   = 0.9

=> α   = Tan⁻¹(0.9)

=> α   = 41.99°

the new angle of depression = 41.99°

Answer 2

Step-by-step explanation:

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