a hang glider flying in the air is 56 meter from an observation point on the ground. if it is 50 meter along level ground from the observation to a point directly under the glider, how high is the glider?
cos A = 50/56
find A
then
sin A = h/56
h^2 + 50^2 = 56^2
To find the height of the glider, we can use the concept of similar triangles.
Let's assume that the height of the glider is denoted by "h".
We have two triangles: the triangle formed by the observation point, the point directly under the glider, and the height of the glider, and the triangle formed by the observation point, the point directly under the glider, and the distance from the observation point to the glider.
Since these triangles are similar, we can set up the following proportion:
(height of glider) / (56 meters) = (h) / (50 meters)
To solve for "h", we can cross-multiply and then divide:
h = (height of glider) * (50 meters) / (56 meters)
Now, we can substitute the given values to find the height of the glider:
h = (height of glider) * (50 meters) / (56 meters)
Therefore, the height of the glider is (height of glider) = (h) * (50 meters) / (56 meters).