Math Problem Statement
CONTROLE 8 COSINUS.pdf
140.32 KB
Solution
It looks like you've uploaded a document with some mathematical exercises involving trigonometry, focusing on calculating angles and lengths in right triangles.
Here’s a quick overview of the tasks:
Exercice 1:
- Triangle ABC is a right triangle at A with sides AB = 4 cm and BC = 7 cm. a. You need to calculate the measure of the angle ∠ABC (denoted as ) rounded to the nearest degree. b. Based on that, you'll then deduce the measure of the angle ∠ACB.
Exercice 2:
- Triangle RST is a right triangle at R, with RT = 4.3 cm and . a. You are asked to calculate the length of side ST, rounded to one decimal place.
Exercice 3:
- This exercise involves multiple steps.
- Calculate the distance BC.
- Calculate the approximate angle ∠BA (rounded to the nearest degree).
- Calculate the length of side DC, rounded to one decimal place.
Exercice 4:
- A few more calculations for a right triangle.
- Calculate the measure of ∠ACB.
- Calculate the length of side AC, rounded to the nearest tenth.
- Calculate the length of side BC, rounded to the nearest tenth.
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Math Problem Analysis
Mathematical Concepts
Trigonometry
Right Triangles
Angle Calculation
Side Length Calculation
Formulas
Pythagorean Theorem
Trigonometric Ratios (Sine, Cosine, Tangent)
Theorems
Pythagorean Theorem
Trigonometric Ratios
Suitable Grade Level
Grades 9-11
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