# Non right triangles questions and answers

Recent questions in Non-right triangles and trigonometry
Non-right triangles and trigonometry

### What is the value of the following expression: $$\displaystyle\sqrt{{3}}{{\cot{{15}}}^{\circ}}$$

Non-right triangles and trigonometry

### Find the length of the third side of the right triangle, if one side = $$\displaystyle{4}\sqrt{{3}}$$, and the hypotenuse = $$8$$.

Non-right triangles and trigonometry

### Suppose that you are headed toward a plateau 50 meters high. If the angle of elevation to the top of the plateau is 60°, how far are you from the base of the plateau?

Non-right triangles and trigonometry

### Given a right triangle. anglea is $$\displaystyle{51}^{\circ}$$. A line is drawn from anglec $$\displaystyle{\left({90}^{\circ}\right)}$$ to the hypotenuse, creating a $$\displaystyle{7}^{\circ}$$ angle between the line and the cathetus adjusted to angleb. The cathetus adjusted to angel is 47cm. Find the length of the line drawn.

Non-right triangles and trigonometry

### What is $$\displaystyle{4}{\cos{{45}}}°-{2}{\sin{{45}}}°$$?

Non-right triangles and trigonometry

### Given a right triangle. One cathetus is 100cm long. Find the length of the other cathetus, if the angle opposite to it is $$\displaystyle{71.6}^{\circ}$$. Round your answer to an integer.

Non-right triangles and trigonometry

### A right triangle has a cathetus of 75m, which is opposite to the anfle of 40'. Find the adjustent cathetus to the 40' angle.

Non-right triangles and trigonometry

### A right triangle with a side cathetuses equal to 12cm and 5 cm. Find the angle opposite to the cm side.

Non-right triangles and trigonometry

### The 5 feet wall stands 28 ft froom the building. Find the length of the shortest straight beam that will reach to the side of the building from the ground outside the wall.

Non-right triangles and trigonometry

### In $$\displaystyle\triangle{K}{L}{M}$$, the measure of $$\displaystyle\angle{M}={90}°$$, Lm = 1.1 feet, and KL = 4.2 feet. Find the measure of $$\displaystyle\angle{L}$$.

Non-right triangles and trigonometry

### Given a right triangle, where one cathetus is $$\displaystyle\overline{{A}}={51}$$ m and the second cathetus is $$\displaystyle\overline{{B}}={39}$$ m. Find the hypothenuse $$\displaystyle{\left(\overline{{C}}\right)}$$ and the angle opposite to $$\displaystyle\overline{{B}}{\left(\angle{a}\right)}$$

Non-right triangles and trigonometry

### Given a right triangle, where the cathetuses are 1 cm and $$\sqrt3$$ cm. Find the hypothenuse's length.

Non-right triangles and trigonometry

### Given a right triangle. The cathetuses are: 86m and 37m. Find the angle opposite to 86m cathetus.

Non-right triangles and trigonometry

### Given a rectangle ($$\displaystyle{17.5}{c}{m}\times{26.2}{c}{m}$$). Find the angle between the longer side and the diagonal.

Non-right triangles and trigonometry

### Given a right triangle, where one cathetus is $$\displaystyle\overline{{A}}={11}$$ m, the hypothenuse is $$\displaystyle\overline{{C}}={15}$$ m, and $$\displaystyle\angle{c}={90}^{\circ}$$ . Find all missing sides $$\displaystyle{\left(\overline{{B}}\right)}$$ and angles $$\displaystyle{\left(\angle{a}{\quad\text{and}\quad}\angle{b}\right)}$$.

Non-right triangles and trigonometry

### Aidan knows that the observation deck on the Vancouver Lookout is 130 m above the ground. He measures the angle between the ground and his line of sight to the observation deck as 77°. How far is Aidan from the base of the Lookout to the nearest metre?

Non-right triangles and trigonometry

### Given a right triangle with $$\displaystyle\angle{a}={65}^{\circ}$$. The cathetus opposite to $$\displaystyle\angle$$a is $$\displaystyle\overline{{A}}={250}$$ m. Find the second cathetus $$\displaystyle{\left(\overline{{B}}\right)}$$.

Non-right triangles and trigonometry

### Given a right triangle. If one cathetus is 19x, the second cathetus is 28x. Find the angles.

Non-right triangles and trigonometry

### Given a right triangle. Cathetuses are 24cm and 7cm long. Find the length of the hypothenuse.

Non-right triangles and trigonometry

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