Answer:
The ratios of the sides of a right triangle are called trigonometric ratios. We need to use trigonometric functions to find them when we don't have any angle other than 90 degree shown.
Three common trigonometric ratios are the sine (sin), cosine (cos), and tangent (tan). These are defined for acute angle.
However when we have one angle given with the 90 degree we can deduct without trigonometry but we would use all angles to find the hypotenuse or all angles to find the side of a right angle.
Alternatively, we cna do this with one given angle but if we have one, we might as well work out the other one without trigonometry and do a division with Sin = 25 (sin 35) sin 90 / sin 55
is one example when given the base 25ft that would find the hypotenuse or the length of elevation for buildings looking down or zip-wire questions.
Step-by-step explanation:
A
| \
l \
4cm| \ 5cm
| \
| \
B | - - - - \ C
3cm
Suppose we wanted to find sin( A) in△ABC
(The height of the wall in elevation questions would be used above the base shown 3cm at the start) Sin = 3 (sin 35)° sin 90° / sin 55° to find the height side (4).
Sine is defined as the ratio of the opposite to the hypotenuse
sin(A) = hypotenuse = AB/BC = 3/5
/ opposite
Answer:
-2
Step-by-step explanation:
We can find the slope of a line by using two points
(-2,1) and (2,-7)
The slope is given by
m = (y2-y1)/(x2-x1)
= (-7-1)/(2- -2)
= (-8)/(2+2)
= -8/4
=-2
Answer:
Distance LM = 5.20 unit (Approx.)
Step-by-step explanation:
Given coordinates;
L(1, 4, 7) and M(2, 9, 8)
Find:
Distance LM
Computation:
Distance between three-dimensional plane = √(x2 - x1)² + (y2 - y1)² + (z2 - z1)²
Distance LM = √(2 - 1)² + (9 - 4)² + (8 - 7)²
Distance LM = √(1)² + (5)² + (1)²
Distance LM = √1 + 25 + 1
Distance LM = √27
Distance LM = 3√3 unit
Distance LM = 3(1.732)
Distance LM = 5.196
Distance LM = 5.20 unit (Approx.)
The first 6 is 600,00 and the second is 60,000, so they are in the hundred thousands place and the thousands place
Answer:
8
Step-by-step explanation:
Compatible numbers are defined as the numbers which are very close to the numbers that they are replacing that divides evenly into each other.
In the context, we have to estimate the quotient using the compatible numbers in order to estimate 245 divided by 3.
So, estimating 245 as 240 and 3 as 30.
Here, 240 is very close to 245 and 30 is close to 3. So the quotient is the result when we divide 240 by 30 and it divides evenly into 240.
We first divide the non zero parts of each number i.e. 24 by 3 to get the first part of the estimate.
Then we add on the zero if there were left in the problem to get your estimate.
Therefore,
240 / 30 = 8
So here, the quotient is estimated as 8.
