Respuesta :
The strategy
Model the situation as a right triangle.
Determine the appropriate trigonometric ratio in order to find the missing angle.
Form an equation and solve for the missing angle.
Calculate the final result and round.
Modeling as a right triangle
This situation can be modeled by the following right triangle. The hypotenuse is 100 meters and the height is 42 meters. We are asked to find the angle of elevation, which is the angle on the left.
Determining the appropriate trigonometric ratio
We are given the side opposite to the missing angle and the hypotenuse The appropriate trigonometric ratio is therefore the SINE.
Forming an equation and solving
Denoting the missing angle by θ, we obtain the equation [tex]sin(0)= 42/100 [/tex]
Solving the equation, we get [tex]0=sin^-^1 (42/100) [/tex]
Evaluating this result in the calculator and rounding to the nearest tenth, we get θ = [tex]24.8^0 [/tex] degrees.
Model the situation as a right triangle.
Determine the appropriate trigonometric ratio in order to find the missing angle.
Form an equation and solve for the missing angle.
Calculate the final result and round.
Modeling as a right triangle
This situation can be modeled by the following right triangle. The hypotenuse is 100 meters and the height is 42 meters. We are asked to find the angle of elevation, which is the angle on the left.
Determining the appropriate trigonometric ratio
We are given the side opposite to the missing angle and the hypotenuse The appropriate trigonometric ratio is therefore the SINE.
Forming an equation and solving
Denoting the missing angle by θ, we obtain the equation [tex]sin(0)= 42/100 [/tex]
Solving the equation, we get [tex]0=sin^-^1 (42/100) [/tex]
Evaluating this result in the calculator and rounding to the nearest tenth, we get θ = [tex]24.8^0 [/tex] degrees.
