A buoy is 150 metres from the base of a wind turbine. The angle of elevation from the buoy to the top of the wind turbine is 28°.
What is the height of the wind turbine?
Give your answer to 2 d. p.

There are two types of modern wind turbines. In a Verical-axis wind turbines (VAWTs), the shaft is mounted on a vertical axis perpendicular to the ground. They are aligned with the wind so there’s no adjustment necessary when the wind direction changes. It can’t start moving on itself that is why it needs a boost from its electrical system to get started. It uses wires for support so the rotor elevation is lower. They are less efficient than HAWTs due to its lower elevation. Lower elevation means slower wind due to ground interferences. The other type is Horizontal-axis wind turbines (HAWTs), the shaft s mounted horizontally parallel to the ground. It is constantly aligned with the wind using a yaw-adjustment mechanism. This mechanism moves the entire rotor left or right in small increments. It uses a tower to lift the turbine components to an optimum elevation for wind speed and take up very little ground space. It is much more efficient than VAWT.

Step-by-step explanation:

use the power rule  

( a b ) n = a n b n

to distribute the exponent.

apply the product rule to  

3 x 2 y 3 . ( 3 x 2 ) 2 ( y 3 ) 2

apply the product rule to  

3 x 2 . 3 2 ( x 2 ) 2 ( y 3 ) 2

raise  

3

to the power of  

2 . 9 ( x 2 ) 2 ( y 3 ) 2 multiply the exponents in   ( x 2 ) 2

.

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 2 ⋅ 2 ( y 3 ) 2

multiply  

2   by   2 . 9 x 4 ( y 3 ) 2

multiply the exponents in  

( y 3 ) 2 .

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 4 y 3

⋅

2

multiply  

3   by   2 . 9 x 4 y 6

step-by-step explanation: