Question

An experimental plane just after takeoff climbs with a speed of 500 km/h at an angle of 37 degrees with the horizontal. A) At what rate is the plane gaining altitude? (Hint, the vertical component of velocity is the rate that the plane is gaining altitude). B). What is the horizontal component of velocity for the plane?.

Answer 1

The rate is the plane gaining altitude (y) is 300 m/sec and The horizontal component (x) of velocity for the plane is 400 m/sec.

What is trigonometry?

Trigonometry deals with the relationship between the sides and angles of a right-angle triangle.

An experimental plane just after takeoff climbs with a speed of 500 km/h at an angle of 37 degrees with the horizontal.

A.  The rate is the plane gaining altitude (y) will be

$\rm y = v * sin \theta\\\\y = 500 *sin 37\\\\y = 300 \ m/sec$

The rate is the plane gaining altitude (y) is 300 m/sec

B.  The horizontal component (x) of velocity for the plane will be

$\rm x = v * cos \theta\\\\x= 500 *cos 37\\\\x = 400 \ m/sec$

The horizontal component (x) of velocity for the plane is 400 m/sec.

More about the trigonometry link is given below.

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