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The height of the building is (x) meters, the line of sight distance from point (A) to the top of the building (point (B)) is (text5,32) meters, and the angle of elevation to the top of the building is (70^circ). Calculate the height of the building ((x)) as shown in the diagram below: beginalign* sin theta & = fractextoppositetexthypotenuse sin text70^circ & = fracxtext5,32 x & = text4,99916... & approx text5 endalign* The height of the building is (text5) (textm). A person stands at point (A), looking up at a bird sitting on the top of a pole (point (B)). The height of the pole is (x) meters, point A is (text4,2) meters away from the foot of the pole, and the angle of elevation to the top of the pole is (65^circ). Calculate the height of the pole ((x)), to the nearest metre. beginalign* tantheta & = fractextoppositetextadjacent tantext65^circ & = fracxtext4,2 x & = text9,0069... & approx text9 endalign* The height of the pole is (text9) (textm). A boy flying a kite is standing (text30) (textm) from a point directly under the kite. If the kites string is (text50) (textm) long, find the angle of elevation of the kite. First draw a sketch: We can use the cosine ratio to find the angle of elevation ((x)): beginalign* cos x & = frac3050 x & = text53,1301... & approx text53,13° endalign* The angle of elevation of the kite is (text53,13)°. What is the angle of elevation of the sun when a tree (text7,15) (textm) tall casts a shadow (text10,1) (textm) long? First draw a sketch: We can use the tangent ratio to find the angle of elevation ((x)): beginalign* tan x & = fractext7,15text10,1 x & = text35,2954... & approx text35,30° endalign* The angle of elevation of the sun is (text35,30)°. From a distance of (text300) (textm), Susan looks up at the top of a lighthouse. The angle of elevation is (text5)°. Determine the height of the lighthouse to the nearest metre. First draw a sketch: We need to find (LT). We can use the tangent ratio: beginalign* tan hatS & = fracLTST LT & = 300 tan 5° & = text26,2465... & approx text26text m endalign* The height of the lighthouse is (text26) (textm). A ladder of length (text25) (textm) is resting against a wall, the ladder makes an angle (text37)° to the wall. Find the distance between the wall and the base of the ladder to the nearest metre. First draw a sketch: Notice that we are given the angle that the ladder makes with the wall, not the angle that the ladder makes with the ground. Now we can use the sine function to find (x): beginalign* sin 37° & = fracx25 x & = 25 sin 37° & = text15,04537... & approx text15text m endalign* The base of the ladder is (text15) (textm) away from the wall. Grade 10 Trigonometry Tests, Questions and Answers: Memos: This page contains trigonometry problems with solutions PDF for grade 10. Trigonometry, the branch of mathematics concerned with specific functions of angles and their application to calculations. There are six functions of an angle commonly used in trigonometry. Their names and abbreviations are sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant (csc). Important! We have made a collection of all Grade 10 Study Resources to assist all Grade 10 Students to successfully do Exam Revisions (past papers with memos, notes, study guides and more), complete PATs, Assignments and Tests preparations.Why? Because Grade 10 is very critical when you want to successfully pass Grade 12 with higher grades.View all Grade 10 ResourcesMy Courses List of Grade 10 Trigonometry Tests and Memos Gr-10-Toets-Aug-2017-Trigonometrie-HS-HermanusDownload GRADE-10.TrigonometryDownload Chapter_1_TrigonometryDownload More Study Resources for grade 10 My Courses is here for you! We have compileda list of grade 10 study guides, past papers, memos, as well as assignments and practical projects questions and answers for your revision. 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