The students in Mr. Collin’s class used a surveyor’s measuring device to find the angle from their location to the top of a buil
ding. They also measured their distance from the bottom of the building. The diagram shows the angle measure and the distance.
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Given the equation of an hyperbola in the form:
Then the focus of the hyperbola is
Compute like this:
So the two focus points are
The vertices are given by the formula:
We deduce the two vertices of the given hyperbola:
since
Then the focus of the hyperbola is
Compute like this:
So the two focus points are
The vertices are given by the formula:
We deduce the two vertices of the given hyperbola:
since