Geometry Trig Word Problem Form PDF Details

At the heart of understanding real-life applications of trigonometry lies the Geometry Trig Word Problem form, an essential tool for students grappling with the complexities of geometric relationships and trigonometric functions. This worksheet, titled "Worksheet 8.4 Trig Word Problems," provides a structured approach to dissecting and solving practical problems, from calculating the heights of monuments and kites to determining distances that are not directly measurable. Each problem on the form encourages learners to draw diagrams to visualize the scenario, thereby making abstract concepts more tangible. It is designed not just to enhance mathematical skills but also to foster a deeper appreciation for the application of geometry and trigonometry in everyday situations. By solving problems such as finding the angle of elevation to the sun or the angle a ladder makes with a building, students gain a practical understanding of trigonometric functions, which are crucial not only in academic pursuits in fields like engineering and physics but also in various real-world applications. The form meticulously guides students through the process, requiring them to identify and use the appropriate trigonometric function to find a solution, thus bridging the gap between theoretical knowledge and practical application.

QuestionAnswer
Form NameGeometry Trig Word Problem Form
Form Length2 pages
Fillable?No
Fillable fields0
Avg. time to fill out30 sec
Other namesright triangle trigonometry word problems worksheet with answers pdf, trig word problems worksheet answer key, trig word problems worksheet answers, trigonometry word problems worksheets with answers

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Worksheet 8.4 Trig Word Problems

Name _____________________

Geometry Regular

Date _____________ Mods____

Draw diagrams for each word problem and show the trig function used to solve the problem.

1.A monument stands on level ground. The angle of elevation to the top of the monument taken at a point 405 feet away is 32˚. Find the height of the monument.

2.A boy flying a kite lets out 150 feet of string that makes an angle of 64˚ with the ground. If the string forms a straight line, how high is the kite above the ground?

3.A person in a balloon which is 2,000 feet above the airport finds that the angle of depression to a ship out at sea is 21˚. Find the horizontal distance between the balloon and the ship. (or the distance from the airport to the ship)

4.An airplane climbs at an angle of 11˚ with the ground. Find the distance it has traveled when it has attained an altitude of 400 feet.

5.Find the angle of elevation of the sun when a 24 foot tree casts a shadow of 36 feet.

6.A 40 foot ladder is leaning against a building. The foot of the ladders is 32 feet from the building. Find the angle that the ladder makes with the building.

7.A television tower is 150 feet high and an observer is 120 feet from the base of the tower. Find the angle of elevation to the top of the tower from the place where the observer is standing.

8.A 40 foot ladder which is leaning against a wall reaches the wall at a point 36 feet from the ground. Find the angle that the ladder makes with the ground.

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