The bell tower of the cathedral in Pisa, Italy(i.e. "The Leaning Tower of Pisa"), leans 5.6 degrees from thevertical. A tourist stands 125 meters from its base, with the tower leaning directly toward her. She measures the angle of elevation tothe top of the tower to be 25 degrees Find the length of the tower tothe nearest meter.

SOURCE: how much will be height from one point to other for 14.4 mts with

I am not exactly sure what the 14.4 m distance represents: The horizontal part or the inclined one.

A. If the 14.4m is the length of the horizontal leg, then the height is given by tan(3 deg)=h/14.4m or h=14.4m*tan(3 deg) =0.75467 m.

B. However if 14.4 m is the length of the inclined part (the hypotenuse) of the triangle, then the height is given by
sin(3 deg)= h/14.4m or h=14.4 m *sin(3 deg)= 0.75363 m

As you can see, the values are approximately equal, because for angles less than 10 deg, the sine and tangent are approximately equal.

I am no construction engineer, but it seems to me that a 3 deg pitch in not much of an inclination. Maybe you meant 30 degree pitch.

If that be the case, the calculations are performed the same way as above: Just substitute 30 deg for 3 deg.

SOURCE: I need to be able

To access the DMS symbols

1. Turn calculator ON
2. If you see no icon menus, press the [MENU] key.
3. Use the arrows to put focus on RUN icon or RUN/MAT for the newer versions, and press [EXE]
4. Press the [OPTN] key to display tabs in the lower part of the screen.
5. Use the F6 key to cycle through all the tabs.
6. Locate the one marked [ANGL] and press the key below it (may be F5).

SOURCE: a tree on a hillside casts a shadow 215 ft. down

x is the height of tree, y and z are as denoted in picture:

1. cos(22°)=y/215==>y=cos(22°)*215=199.3 ft
   
2. sin(22°)=z/215==>z=sin(22°)*215=80.5 ft
   
3. tan(52°)=(x+z)/y==>x+z=y*tan(52°)=255.1 ft
   
4. x=255.1-z=255.1-80.5=174.6 ft