The large triangle is an isosceles since both angles at the base each equal 42°.
In an isosceles triangle the altitude z is at the same time median , then it bisects the opposite side in the middle . So w = 120/2 = 60
Now let's calculate z:
tan 42° = (opposite side) / (adjacent side) = z/60
tan 42° = 0.9,
0.9 = z/60 and z = 54
Answer:
Step-by-step explanation:
The slope of a line perpendicular to another line is the opposite reciprocal of the slope of the other line, meaning if the slope of the other line is 
, then the slope of the line perpendicular is 
.
Knowing this, we can start to construct the equation for the line:
To solve for 
, we plug in the coordinates of the point that we know the line runs through, 
:
Therefore, the slope of the line that is perpendicular ot the line provided in the equation is the following:
Answer:
409
Step-by-step explanation:
9514 1404 393
Answer:
273 m
Step-by-step explanation:
The tower represents the short side of a 30°-60°-90° right triangle. The distance from the tower represents the long leg, not the hypotenuse, of that triangle. It is √3 times the short side. In this geometry, man B is 100√3 = 173.2 meters from the tower.
The tower represents one of two congruent sides of a 45°-45°-90° right triangle. Man A will be standing 100 meters from the tower.
The distance between A and B is 100 +173.2 = 273.2 meters. The men are about 273 meters apart.
