trigonometry

[Lystra]

Please help

A Flagpole 8m high is supported by a wire 10m long

a) Find the angle between the wire and the flagpole.

b) Find also the lenght marked x cm





A man 2m tall stands 10m rom the tree which is 22m tall

a) Sketch this information

b) find the angle through whic he has to look up fron horizontal, to see the top ogf the tree.

c) Find how far he is from the tree if the angle is 65 degrees

 

[Unco]

A Flagpole 8m high is supported by a wire 10m long

a) Find the angle between the wire and the flagpole.

b) Find also the length marked x cm

Draw a diagram.

      |\ 
      | \ 
      |  \   
      |   \   10  
   8  |    \
      |    _\   
      |   /  \  
      *--+----* 
       
         x

You know the length of the opposite side (10cm) and that of the hypotenuse (8cm).

A man 2m tall stands 10m rom the tree which is 22m tall

a) Sketch this information

b) find the angle through which he has to look up from the horizontal, to see the top of the tree.

c) Find how far he is from the tree if the angle is 65 degrees

Have a go at drawing a diagram (ie. (a) ).

Think of similar triangles for (b).

Now that you have a diagram, what are your thoughts for (c)?