Year 10 Mathematics Trigonometry Practice Test

Flashcards based on the Year 10 Mathematics Trigonometry Practice Test covering key concepts and problem-solving questions.

What is the length of the hypotenuse found in the triangle shown in question 1 of the practice test?

The hypotenuse length is 10 cm.

To one decimal place, what is the length of the hypotenuse in question 2?

The hypotenuse length is 5.4 cm.

Using Pythagoras’ Theorem, what is the value of x in the triangle from question 3?

x = 5.

What is the value of m in the triangle, correct to one decimal place according to question 4?

m = 11.3.

In question 5, how long is the rope linking the two flagpoles that are 15 meters apart with heights of 9 m and 29 m?

The rope is 25 meters long.

How far apart are the two hikers after walking in different directions, according to question 6?

The hikers are 13.1 km apart.

What is the distance from one corner to the opposite corner of the rectangular prism in question 7?

The distance is 11.18 cm.

What are the sine, cosine, and tangent ratios for a triangle labeled O, A, H in question 8?

a) sin θ = m/x, b) cos θ = n/x, c) tan θ = m/n.

What is the ratio of cos θ given in question 9?

cos θ = 7/74.

What is the value of x for cos 30° as stated in question 10, rounded to two decimal places?

x = 10.39.

What are the values of x in the triangles according to question 11, rounded to two decimal places?

a) x = 1, b) x = 4.53, c) x = 5.20.

What are the known values of x from question 12 in right-angled triangles, rounded as necessary?

a) x = 3.49, b) x = 3.92, c) x = 6.30.

What angles to the nearest degree can be found in question 13: sin θ = 2/3, cos θ = 1/2, tan θ = 1.7?

a) θ = 42°, b) θ = 60°, c) θ = 60°.

To the nearest minute, what is the angle θ from question 15?

θ = 36° 52'.

What is the calculated height of the building in question 16?

The building is 234 m tall.

How far from the base of Centrepoint Tower is the boat as observed in question 17?

The boat is about 1138 m from the base.

What are the angles of depression and elevation given in question 18 for the hill of height 38 m?

a) The angle of depression is 37°, b) The angle of elevation is 37°.

How far west of camp is the walker who goes on a bearing of 250° for 8 km, based on question 19?

The distance west of camp is not solved for x.

How far east is point B from point A, given the bushwalker walks 5 km on a bearing of 150°?

Point B is 2.5 km east of point A.