An angle

An angle x is opposite side AB which is 10, and side AC is 15 which is hypotenuse side in triangle ABC. Calculate angle x.

Correct answer:

x =  41.8103 °

Step-by-step explanation:

$$\begin{gathered} a=10 \\ c=15 \\ \sin x=a\mathrm{/}c \\ x={\displaystyle \frac{180\mathrm{°}}{\pi }}\cdot \arcsin (a\mathrm{/}c)={\displaystyle \frac{180\mathrm{°}}{\pi }}\cdot \arcsin (10\mathrm{/}15)=41.8103\text{°}=41\mathrm{°}48^{\mathrm{\prime }}37\mathrm{"} \end{gathered}$$

Try calculation via our triangle calculator.

Try another example

Related math problems and questions:

• In the 18
  In the right triangle ABC, The hypotenuse AB = 15 cm, and B = 25 degree. How long is BC to the nearest centimetre?
• Right triangle
  Calculate the length of the remaining two sides and the angles in the rectangular triangle ABC if a = 10 cm, angle alpha = 18°40'.
• Right angle
  In a right triangle ABC with a right angle at the apex C, we know the side length AB = 24 cm and the angle at the vertex B = 71°. Calculate the length of the legs of the triangle.
• Right triangle
  Calculate the missing side b and interior angles, perimeter, and area of ​​a right triangle if a=10 cm and hypotenuse c = 16 cm.
• Right triangle
  A right triangle ABC is given, c is a hypotenuse. Find the length of the sides a, b, the angle beta if c = 5 and angle alfa = A = 35 degrees.
• Perimeter of triangle
  In the triangle, ABC angle A is 60° angle B is 90°, and side size c is 15 cm. Calculate the triangle circumference.
• Triangle KLB
  It is given equilateral triangle ABC. From point L which is the midpoint of the side BC of the triangle it is drwn perpendicular to the side AB. Intersection of perpendicular and the side AB is point K. How many % of the area of the triangle ABC is area o
• Right triangle trigonometrics
  Calculate the size of the remaining sides and angles of a right triangle ABC if it is given: b = 10 cm; c = 20 cm; angle alpha = 60° and the angle beta = 30° (use the Pythagorean theorem and functions sine, cosine, tangent, cotangent)
• The right triangle
  In the right triangle ABC with a right angle at C, we know the side lengths AC = 9 cm and BC = 7 cm. Calculate the length of the remaining side of the triangle and the size of all angles.
• Triangle
  Calculate the area of the right triangle ΔABC if one leg is long 14 and its opposite angle is 59°.
• One side
  One side is 36 long with a 15° incline. What is the height at the end of that side?
• Centre of the hypotenuse
  For the interior angles of the triangle ABC, alpha beta and gamma are in a ratio of 1: 2: 3. The longest side of the AB triangle is 30 cm long. Calculate the perimeter of the triangle CBS if S is the center of the side AB.
• Sin cos tan
  In triangle ABC, right-angled at B. Sides/AB/=7cm, /BC/=5cm, /AC/=8.6cm. Find to two decimal places. A. Sine C B. Cosine C C. Tangent C.
• Pyramid
  Pyramid has a base a = 3cm and height in v = 15 cm. a) calculate angle between plane ABV and base plane b) calculate angle between opposite side edges.
• Right angled triangle 3
  Side b = 1.5, hypotenuse angle A = 70 degrees, Angle B = 20 degrees. Find its unknown sides length.
• Draw triangle
  Construct an isosceles triangle ABC, if AB = 7cm, the size of the angle ABC is 47°, arms | AC | = | BC |. Measure the size of the BC side in mm.
• Median in right triangle
  In the rectangular triangle ABC has known the length of the legs a = 15cm and b = 36cm. Calculate the length of the median to side c (to hypotenuse).