Nisha is looking out the window of her apartment building at a sculpture in a park across the street. The top of Nisha's window to the bottom of Scrupture is 22 degree how far away from how far away from the building in the Scrupture round your answer to the nearest hundred.
Answers
The distance from Nisha's apartment building to a sculpture in a park across the street is 222.76 ft. You can solve for how far away the building is from the sculpture using trigonometric functions. Trigonometric functions are the basis of trigonometry. This branch of mathematics studies the sides and angle relationships of triangles. The main functions in trigonometry are Sine, Cosine, and Tangent.
Further Explanation
a. Draw the Scenario:
Nisha's apartment building forms a right triangle with the sculpture in the park. Draw the scenario by using the steps below to guide you.
The top of Nisha's window is the height from the ground of the triangle, 90 feet.
The distance between Nisha's building and the sculpture is the distance you need to find. How far away forms the base of the triangle and is labeled with the variable x.
The angle of depression is the angle formed downward from the horizontal line of sight from Nisha's window.
You can check your picture by clicking on the attachment.
b. Choose the function
Trigonometry has three main functions: sine, cosine, and tangent. Each function describes a ratio between the opposite, adjacent and hypotenuse sides of a triangle using a reference angle.
Sine is the ratio of sides opposite over hypotenuse to the angle.
Cosine is the ratio of sides adjacent over hypotenuse to the angle.
Tangent is the ratio of sides opposite over adjacent to the angle.
Here, use the angle of depression as the reference angle.