Trigonometry control in 3rd grade to print in PDF.

A math test on trigonometry in the right triangle in the third grade.

This trigonometry homework assignment is intended for teachers and students in ninth grade. Indeed, it is a chapter with several advantages and requires some regular practice to master it well. It uses all your skills and helps you solve problems with a simple and understandable method. You will also need to have all the appropriate materials to properly process this series of exercises.

Exercise 1: (5 pts)

In triangle ABC of height [AH] shown below, we give:

Trigonometry

AC = 4 cm, AB = 2.5 cm and ACB = 30°.

1. Calculate the exact value of AH.

2. Calculate the measure of the angle \widehat{BAH} rounded to the nearest degree.

3. Deduce the measure of the angle \widehat{BAC}.


Exercise 2
(3 pts)

Calculate the following numbers and give the results rounded to the nearest 0.001:

a=\frac{5}{tan82^{\circ}}\times  ,cos67^{\circ}\,\,\,,,\,,b=3-2sin17^{\circ}\,\,,\,\,c=1-(cos69^{\circ})^2


E

xercise 3
(9 pts)

Consider the figure below:

Trigonometry in the right triangle

We give MN = 8 cm

ML = 4.8 cm

LN = 6.4 cm.

( We do not ask you to redo the figure on the copy )

1. Prove that the triangle LMN is right-angled.

2. Calculate the value, rounded to the nearest degree, of the measure of the angle \widehat{LMN} .

3. Let K be the foot of the height from L. Show that [LK] measures exactly 3.84 cm.

4. Let S be the point of [MN] such that NS = 2 cm. The perpendicular to (LN) passing through S intersects [LN] at R.

Will calculate exact value of RS.


Exercise 4
(3 pts)

Arthur wants to know the height of a tree.

He has a measuring device with the lens located at point A, 1.70 m above the ground.

This point A is 60 meters from the tree.

The floor is horizontal.

It measures the angle \widehat{BAC}. It finds 23°.

Calculate the height of this tree.

Cette publication est également disponible en : Français (French) العربية (Arabic)

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