In previous examples, we evaluated the sine and cosine in triangles where we knew all three sides. But the real power of right-triangle trigonometry emerges when we look at triangles in which we know an angle but do not know all the sides.
Given a right triangle, the length of one side, and the measure of one acute angle, find the remaining sides.
For each side, select the trigonometric function that has the unknown side as either the numerator or the denominator. The known side will in turn be the denominator or the numerator.
Write an equation setting the function value of the known angle equal to the ratio of the corresponding sides.
Using the value of the trigonometric function and the known side length, solve for the missing side length.
Finding missing side lengths using trigonometric ratios
Find the unknown sides of the triangle in
[link] .
We know the angle and the opposite side, so we can use the tangent to find the adjacent side.
Using right triangle trigonometry to solve applied problems
Right-triangle trigonometry has many practical applications. For example, the ability to compute the lengths of sides of a triangle makes it possible to find the height of a tall object without climbing to the top or having to extend a tape measure along its height. We do so by measuring a distance from the base of the object to a point on the ground some distance away, where we can look up to the top of the tall object at an angle. The
angle of elevation of an object above an observer relative to the observer is the angle between the horizontal and the line from the object to the observer's eye. The right triangle this position creates has sides that represent the unknown height, the measured distance from the base, and the angled line of sight from the ground to the top of the object. Knowing the measured distance to the base of the object and the angle of the line of sight, we can use trigonometric functions to calculate the unknown height. Similarly, we can form a triangle from the top of a tall object by looking downward. The
angle of depression of an object below an observer relative to the observer is the angle between the horizontal and the line from the object to the observer's eye. See
[link] .
Given a tall object, measure its height indirectly.
Make a sketch of the problem situation to keep track of known and unknown information.
Lay out a measured distance from the base of the object to a point where the top of the object is clearly visible.
At the other end of the measured distance, look up to the top of the object. Measure the angle the line of sight makes with the horizontal.
Write an equation relating the unknown height, the measured distance, and the tangent of the angle of the line of sight.
Bacteria doesn't produce energy they are dependent upon their substrate in case of lack of nutrients they are able to make spores which helps them to sustain in harsh environments
_Adnan
But not all bacteria make spores, l mean Eukaryotic cells have Mitochondria which acts as powerhouse for them, since bacteria don't have it, what is the substitution for it?
Assimilatory nitrate reduction is a process that occurs in some microorganisms, such as bacteria and archaea, in which nitrate (NO3-) is reduced to nitrite (NO2-), and then further reduced to ammonia (NH3).
Elkana
This process is called assimilatory nitrate reduction because the nitrogen that is produced is incorporated in the cells of microorganisms where it can be used in the synthesis of amino acids and other nitrogen products
There are nothing like emergency disease but there are some common medical emergency which can occur simultaneously like Bleeding,heart attack,Breathing difficulties,severe pain heart stock.Hope you will get my point .Have a nice day ❣️
_Adnan
define infection ,prevention and control
Innocent
I think infection prevention and control is the avoidance of all things we do that gives out break of infections and promotion of health practices that promote life