The world's fastest roller coaster is at Six Flags Magic Mountain. At the start, riders are shot forward and then up a tower. They then begin the backward descent. The cars reach a speed of 160 km/h in 7 seconds during the descent. From a point 100 metres from the foot of the tower, the angle of elevation to the top of the tower is 52'. Find the height of the tower, to the nearest metre. ​

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step-by-step explanation:

answer

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step-by-step explanation:

answer:   28.56 feet (approx)

step-by-step explanation:

since, triangle abc has measure of angle c equal to 55 degrees, measure of angle abc equal to 90 degrees, and length of bc equal to 20 feet.

we have to find out the measurement of segment ab.

therefore, tan 55° =

but bc = 20 feet.

⇒ tan 55 ° =  

⇒ ab = 20 × tan 55 °

⇒ ab = 20 × 1.42814800674

⇒ ab = 28.5629601348   ≈ 28.56 feet