30° is the angle of elevation from the base to the top of the mountain.
Trigonometric ratios are the ratios of the length of sides of a triangle.
These ratios in trigonometry state the relation between the ratio of sides of a right triangle to the respective angle.
The basic trigonometric ratios are sin, cos, and tan, namely sine, cosine, and tangent ratios.
The other important trig ratios, cosec, sec, and cot, can be derived using the sin, cos, and tan respectively.
Sin θ = Perpendicular / Hypotenuse
According to the question,
Perpendicular = Vertical height of Mountain. = 1290 m
Hypotenuse = The distance from the top of the mountain to the base of the Mountain. = 2580 m
⇒ Sin θ = 1290/ 2580
⇒ Sin θ = 1/2⇒ θ = Sin⁻¹(1/2)
⇒ θ = 30°
Hence, 30° is the angle of elevation from the base to the top of the mountain.
To understand more about Trigonometric ratios refer -
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