An observer on the ground is x meters from the base of the launch pad of a rocket, which is at the same level as the observer. A few seconds after the rocket takes off vertically, the observer sees its tip at an angle of q° from the horizontal. How far above the ground is the tip of the rocket at that instant? Assume that the ground is level.
a) x/ tan q
b) x/sin q
cx tan q
d) x cos q

Question

06-06-2016
Mathematics

contestada

An observer on the ground is x meters from the base of the launch pad of a rocket, which is at the same level as the observer. A few seconds after the rocket takes off vertically, the observer sees its tip at an angle of q° from the horizontal. How far above the ground is the tip of the rocket at that instant? Assume that the ground is level.
a) x/ tan q
b) x/sin q
cx tan q
d) x cos q

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metchelle metchelle · Answer 1 · 2016-06-13T08:23:36+02:00

To illustrate the problem, refer to the following diagram, made with the ever-helpful notepad application:

|\ | \ | \h| \ | \ | \ |_____q\ x

Pretending as if that is a wonderfully-drawn triangle, we are given the distance x of the observer from the launch pad. The angle q is also stated, and is located in the diagram as shown. To look for the distance h of the tip of the rocket to the ground, we consider the following trigonometry function:

tan q = h/x

Since we are solving for h, we multiply both sides with x, giving us:

h = x * tan q

Among the choices, the correct answer is C.

dhevannnyahhh dhevannnyahhh · Answer 2 · 2021-01-27T23:34:30+01:00

dhevannnyahhh dhevannnyahhh

27-01-2021

Answer:

C.) x tan q

Explanation:

PLATO

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