Question

Robin is flying a kite. She ties the 50 foot kite string to the ground. If the kite is

Answer 1

$\bold{\huge{\orange{\underline{ Solution }}}}$

Given :-

• We have given in the question that, Robin is flying a kite.
• She ties the 50 foot kite string to the ground .
• The kite is flying at 40 feet high

To Find :-

• We have to find the measure of the angle the string forms with the group that is angle of elevation.

Let's Begin :-

According to the given question,

• Hypotenuse AC ( Distance of string from the ground) = 50 ft.
• Perpendicular height AB ( Distance of the kite from the ground) = 40 ft.

Therefore,

By using trigonometric ratios,

{ $\bold{\pink{ Sin Φ = }}{\bold{\pink{\dfrac{Perpendicular}{Hypotenuse }}}}$

$\bold{\red{ Cos Φ = }}{\bold{\red{\dfrac{Base}{Hypotenuse }}}}$

$\bold{\purple{ Sin Φ = }}{\bold{\purple{\dfrac{Perpendicular}{Base }}}}$ }

The Angle of elevation will be

[ The angle that is formed between the line of sight and base of the triangle is called angle of elevation ]

$\bold{\pink{Sin Φ = }}{\bold{\pink{\dfrac{AB}{AC }}}}$

$\sf{ Sin Φ = }{\sf{\dfrac{40}{50 }}}$

$\sf{ Sin Φ = }{\sf{\dfrac{4}{5}}}$

$\sf{ Sin Φ = 0.8 }$

$\bold{\green{ Φ = 45.83° }}$

Hence, The measure of the angle the string forms with the ground is 45.83° .