 # High school trigonometry questions and answers

Recent questions in Trigonometry tapetivk 2021-11-23 Answered

### Find the height of the triangle g to the nearest tenth.  danrussekme 2021-11-22 Answered

### Consider the non-right triangle below Suppose that $$\displaystyle{m}\angle{A}{C}{B}={98}^{{\circ}}$$ and $$\displaystyle{m}\angle{B}{A}{C}={42}^{{\circ}}$$, and that $$\displaystyle{y}={51.4}{c}{m}$$. What is the value of x? embaseclielenzn 2021-11-22 Answered

### Consider the non-right triangle below Suppose that $$\displaystyle{m}\angle{A}{C}{B}={103}^{{\circ}}$$ and $$\displaystyle{m}\angle{B}{A}{C}={44}^{{\circ}}$$, and that $$\displaystyle{y}={50.5}{c}{m}$$. What is the value of x? meplasemamiuk 2021-11-22 Answered

### Consider the non-right triangle below. Suppose that $$\displaystyle{m}\angle{B}{C}{A}={70}^{{\circ}}$$, and that $$\displaystyle{x}={33}{c}{m}$$ and $$\displaystyle{y}={47}{c}{m}$$ What is the degree measure of $$\displaystyle\angle{A}{B}{C}?$$ gabioskay7 2021-11-22 Answered

### What do all these triangles have in common? a) b) c)  nuais6lfp 2021-11-21 Answered

### The diagonals of a trapezoid divide each other proportionally. Given: Trapezoid ABCD with diagonal AC, BD intersecting at O Prove: $$\displaystyle{\frac{{{A}{O}}}{{{C}{O}}}}={\frac{{{B}{O}}}{{{D}{O}}}}$$ $\begin{array}{|c|c|}\hline \text{Statements} & \text{Reasons} \\ \hline 1. (see\ above) & \text{1. Given} \\ \hline 2. & 2.\\ \hline 3. \text{(Give 2 pairs of equal angles)} & \text{3. If two parallel lines are cut by a transveral,}\\ & \text{then the alternate interior angles are=.} \\ \hline 4.\ \triangle AOB\sim\triangle COD & 4. \\ \hline 5. \frac{AO}{CO}=\frac{BO}{DO} & 5.\\ \hline \end{array}$ peromvu 2021-11-21 Answered

### Consider the non-right triangle below Suppose that $$\displaystyle{m}\angle{B}{C}{A}={69}^{{\circ}}$$, and that $$\displaystyle{x}={32}{c}{m}$$ and $$\displaystyle{y}={49}{c}{m}$$. What is the degree measure of $$\displaystyle\angle{A}{B}{C}?$$ Edmund Adams 2021-11-21 Answered

### A thin, uniform rod is bent into a square of side length a. If the total mass is M, find the moment of inertia about an axis through the center and perpendicular to the plane of the square. skeexerxo175o 2021-11-21 Answered

### Determine whether the two triangles are similar. Explain 1. The two triangles are not similar. Since $$\displaystyle{m}\angle{B}\ne{m}\angle{F}$$, the triangles are not similar by the AA criterion. 2. The two triangles are similar. By the Interior angles theorom, $$\displaystyle{m}\angle{C}={67}^{{\circ}}$$, so the triangles are similar by the AA criterion. 3. The two triangles are similar. By the interior angles theorem, $$\displaystyle{m}\angle{c}={57}^{{\circ}}$$, so the triangles are similar by the AA similarity criterion. 3. The two triangles are not similar. By the interior angles theorem, $$\displaystyle{m}\angle{C}={57}^{{\circ}}$$ so, the triangles are not similar by the AA similarity criterion.  ahgan3j 2021-11-20 Answered

### Consider the non-right triangle below. Suppose that $$\displaystyle{m}\angle{C}{A}{B}={61}^{{\circ}}$$, and that $$\displaystyle{x}={35}{c}{m}$$ and $$\displaystyle{y}={15}{c}{m}$$. What is the area of this triangle? IMLOG10ct 2021-11-20 Answered

### Find the dimensions of the isosceles triangle of largest area that can be inscribed in a circle of radius r. tapetivk 2021-11-20 Answered

### Which statement applies to these triangles: -these triangles must be congruent -these triangles might be congruent -these triangles cannot be congruent  kiki195ms 2021-11-20 Answered

### The following diagram shows a triangle ABS, where $$\displaystyle{B}{C}={5},\ \hat{{{B}}}={60}^{{\circ}},\ \hat{{{C}}}={40}^{{\circ}}$$. Calculate AB to the nearest whole number.  mronjo7n 2021-11-19 Answered

### Use the Law of Cosines to solve the triangles. Round lengths to the nearest tenth and angle measures to the nearest degree.  korporasidn 2021-11-19 Answered

### Ambiguous Case Given angle $$\displaystyle{B}={14},\ {c}={14.0}$$ and $$\displaystyle{b}={14.1}$$ How many triangles can be expected. Note that you have to differentiate between right and non-right triangles Select one: a. No triangles b. 1 right triangle c. 1 non-right triangle d. 2 possible triangleSK achieverh3 2021-11-18 Answered

### Which statement applies to these triangles: - these triangles must be congruent - these triangles might be congruent -these triangles cannot be congruent.  impresijuzj 2021-11-18 Answered

### Consider the non-right triangle shown below that has lengths of 1.6, 1.751 and 2.6 cm and interior angle measures of 0.72, $$\displaystyle\alpha$$, and $$\displaystyle\beta$$ degrees. a) What is the value of $$\displaystyle\alpha$$? b) What is the value of $$\displaystyle\beta$$? pamangking8 2021-11-18 Answered

### Find each measurement indicated. Round your answers to the nearest tenth. Find BC  podnescijy 2021-11-17 Answered

### Triangles ABC and DEF are right triangles, as shown $$\displaystyle\triangle{A}{B}{C}$$ is similar to $$\displaystyle\triangle{D}{E}{F}$$ Which ratios are equal to $$\displaystyle{\cos{{\left({B}\right)}}}$$? Choose the TWO ratios that apply. hrostentsp6 2021-11-17 Answered

### Two sides and an angle are given below. Determine whether the given information results in one triangles, or no triangle at all. Solve any resulting triangle(s). $$\displaystyle{b}={4},\ {c}={5},\ {B}={30}^{{\circ}}$$ Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. A) A single triangle is produced, where $$\displaystyle{C}\approx?^{{\circ}},\ {A}\approx?^{{\circ}}$$, and $$\displaystyle{a}\approx?$$ B) Two triangles are produced, where the triangle with the smaller angle C has $$\displaystyle{C}_{{{1}}}\approx?^{{\circ}},\ {A}_{{{1}}}\approx?^{{\circ}}$$, and $$\displaystyle{a}_{{{1}}}\approx?$$, and the triangle with the larger angle C has $$\displaystyle{C}_{{{2}}}\approx?^{{\circ}},\ {A}_{{{2}}}\approx?^{{\circ}},$$ and $$\displaystyle{a}_{{{2}}}\approx?$$ C) No triangles are produced.

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