Posted by **Anonymous** on Wednesday, December 19, 2012 at 4:33pm.

A stairway runs up the edge of the

pyramid. From bottom to top the stairway

is 92 m long. The stairway makes an angle of 70° to the base edge, as shown. A line from the middle of one of the base edges to the top of the pyramid makes an angle of elevation of 52° with respect to the flat ground. Find the height of the pyramid.

I just can't figure out where 70 degrees comes into play, help is appreciated :)

- Math-trig -
**Steve**, Wednesday, December 19, 2012 at 4:40pm
I can't see how this makes sense. Apparently the staircase runs up along one edge of the pyramid. Since the edge is longer than the altitude of one of the faces, its angle of elevation must be less.

Better describe the diagram. Be sure to mark and label all points and edges of interest.

- Math-trig -
**Steve**, Wednesday, December 19, 2012 at 4:48pm
Wait. I see it.

One face of the pyramid is an isosceles triangle with base angles of 70°

So, the altitude of one of the faces is 92 sin70°, and half the base of one face is 92 cos70°

so, if h is the pyramid height,

sin52° = h/(92sin70°)

h = 68.12

or,

tan52° = h/(92cos70°)

h = 40.27

Hmmm. I have messed up somewhere; maybe you can straighten it out.

- Math-trig -
**Anonymous**, Wednesday, December 19, 2012 at 5:14pm
Thanks so much!!

- Math-trig -
**Anon**, Wednesday, January 9, 2013 at 4:30pm
The question in the textbook misses key information

## Answer this Question

## Related Questions

- math - A stairway runs up the edge of the pyramid. From bottom to top the ...
- trig, math - A stairway must be built to a deck that is 20 feet above ground ...
- Math - Slopes - A carpenter is building a stairway. The depth of each stair is ...
- physics - A worker has to move a rock with mass 50 kg on a stairway from the ...
- math - manfred mouse fell inside a box of toy blocks. to escape, he needs to ...
- trig-math - 4. A carpenter wants to be sure that the corner of a building is ...
- physics - a 70.o kg student runs up a 5.00 meter high stairway in a time of 5 ...
- math-TRIG - 1. Which angle measure is consistent with all of the following ...
- mechanics - using a come-along I am pulling 220 lbs. up a stairway(45*) angle. ...
- science - If a 60.0 kg person will need to climb a 10.0 m stairway how may times...