Question

the Sky Tower in Auckland. Alongside the tower is a boat. The boat is 33
meters long. Use the length of the boat to estimate the height of the Sky Tower.​

Answer 1

Answer:

Step-by-step explanation:

Let AB be the tower and C and D be the point of observation from boat

Given AC=60 m And ∠ADB=300 and ∠ACB=450

Let height of tower is h m

In ΔBAC

Thentan450=ACAB​

⇒1=ACAB​⇒AB=AC=60m

In ΔBAD

Then tan30o=ADAB​

⇒3

​1​=ADAB​

⇒AD=3

​AB=603

​m$$

∴CD=AD−AC=603

​−60=60(3

​−1)

Then speed=560(3

​−1)​ m/s

And approximate speed =100012×0.73×3600​≈32 km/h