Question

An ant walks 2\,\text m2m2, start text, m, end text to the right and then climbs 1 \,\text m1m1, start text, m, end text up a wall.How many degrees above the ground is the ant compared to its initial position?

Answer 1

26.6 degrees

Step-by-step explanation:

The answer for Khan Academy.

Answer 2

26.56°

Step-by-step explanation:

given,

horizontal distance travel by the ant = 2 m

vertical distance travel by the ant = 1 m

angle of the ant above the initial point = ?

using trigonometric function

`tan \theta = (h)/(x)`

θ is the angle of the ant form initial position

h is the height on the wall

x is the horizontal distance covered by the ant

`tan \theta = (1)/(2)`

`\theta =tan^(-1)(0.5)`

`\theta =26.56^0`

hence, the angle made by the ant from the initial position is equal to 26.56°