Calculating distance III

This task is about using trigonometry to calculate distances in practical problems.

Question 1Change answer

a)  Emily was standing 300 metres from the Eiffel Tower.
     The angle from where she stood to the top of the tower was 45°.
 
      calculating-distance-iii-diagram-1b.png      [Not drawn to scale]
     Calculate the height of the Eiffel Tower, as shown by 'a'. m

Question 1Change answer

b)  The top of a 5-metre ladder makes an angle of 30° with the side of a building.
 
calculating-distance-iii-diagram-2b.png      [Not drawn to scale]  
     Calculate the distance the ladder is from the building at ground level, as shown by 'b'.  m

Question 1Change answer

c)  Taylor walks across a road at an angle of 15° and a distance of 13.5 metres to Pere on the other side.
 
calculating-distance-iii-diagram-3.png     [Not drawn to scale]
     How wide is the road, as shown by 'c'?  m