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If 2 angles are 45 degrees, the other must be 90, so Pythagorus' Theorem applies, so it is sqrt ( 1700^2 + 1700^2 ) = 2404.16
for triangles, a / sinA = c / sinC so c = ( 1700 / sin (45) ) * sin (90) = 2404.16.
Assuming that the angle at A is the right angle, Pythagoras' theorem says that the length of the hypotenuse (the side opposite the right angle) is the square root of the sum of the squares of the other two sides. In your case, AB and AC are 'the other two sides' and BC is the hypotenuse, so:
/ 2 2 /
length BC = V 10 + 20 = V 100 + 400
= V 500 = 22.36 cm
(To find the angle at C, you need trigonometry and is arc-tan(10/20)
and the angle at B is arc-tan(20/10) - 26.5 deg and 63.5 deg)
Well, there is classification by sides, equilateral with 3 equal sides, Isosceles with two equal sides, and scalene with no equal sides, but you talk about angles, but I wanted to point out equilaterals have 3 equal angles, isoceles have 2 equal angles and scalene have no equal angles. So, now we talk about angles: a Right trianlge has one angle that is 90 degrees, an Obtuse triangle has one angle greater than 90 degrees, and an Acute has no angles over 90 degrees. Thus, it is possible to have a (scalene or isoceles) AND (acute, obtuse, or right) triangle, but never an equilateral AND (obtuse or right). The angles can't be equal and 90+ degrees if all three must equal 180 degrees.
In right triangle we are making 90 degree angle triangle, we can have problem for finding hypotenuse or finding sin or cos values of the side of the triangle.
For ex,Find out the hypotenuse,sin and cos value of the right triangle with base 4 cm and perpendicular 3 cm
Solution:Hypotenuse = SQRT(4^2 + 3^2)
=SQRT(4*4 + 3*3)
For right triangle,
The sine of an angle is only applicable is a right triangle. If you just want a number, ie, the actual value of the sine 15 degrees you can look it up on Google. Do a search for "sine and cosine functions"
If you want the mathematical description of the sine of an angle it is described as follows In a triangle ABC, there are 3 angles angle A, angle B and angle C. There are also 3 sides, Side AB, Side AC and side BC. The sine of angle A is equal to the side opposite Angle A divided by the Hypotenuse (the longest side opposite the right angle) The Cosine of angle A is equal to the side adjacent to Angle A divided by the hypotenuse
Hope this helps Loringh PS Please leave a rating for me Thanks
Draw a right triangle with the vertical portion of the triangle representing the 37 meters of the light house The base of the triangle is the distance we are trying to find. If the angle of depression is 15 degrees, the other angle is 75 degrees. This is the angle from the boat to the top of the lighthouse.
so The Tangent of 75 degrees is equal to the side opposite the angle (the height of the lighthouse) divided by the side adjacent (the distance we are trying to find.
solving for the distance we get distance = 37 divided by the tangent of 37 degrees
Looking up the tangent of 15 degrees on google give .2679
dividing 137 by .2679=138,1 meters
Hope this helps Loringh PS Please leave a rating for me.