A right triangle has one angle of
$\text{\hspace{0.17em}}\frac{\pi}{3}\text{\hspace{0.17em}}$ and a hypotenuse of 20. Find the unknown sides and angle of the triangle.
$\text{adjacent}=10;\text{opposite}=10\sqrt{3};$ missing angle is
$\text{\hspace{0.17em}}\frac{\pi}{6}$
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.
Solve the equation for the unknown height.
Measuring a distance indirectly
To find the height of a tree, a person walks to a point 30 feet from the base of the tree. She measures an angle of
$\text{\hspace{0.17em}}\mathrm{57\xb0}\text{\hspace{0.17em}}$ between a line of sight to the top of the tree and the ground, as shown in
[link] . Find the height of the tree.
We know that the angle of elevation is
$\text{\hspace{0.17em}}\mathrm{57\xb0}\text{\hspace{0.17em}}$ and the adjacent side is 30 ft long. The opposite side is the unknown height.
The trigonometric function relating the side opposite to an angle and the side adjacent to the angle is the tangent. So we will state our information in terms of the tangent of
$\text{\hspace{0.17em}}\mathrm{57\xb0},$ letting
$\text{\hspace{0.17em}}h\text{\hspace{0.17em}}$ be the unknown height.
how we can draw three triangles of distinctly different shapes. All the angles will be cutt off each triangle and placed side by side with vertices touching
The anwser is imaginary
number if you want to know The anwser of the expression
you must arrange The expression and use quadratic formula To find the
answer
master
The anwser is imaginary
number if you want to know The anwser of the expression
you must arrange The expression and use quadratic formula To find the
answer
master
Y
master
X2-2X+8-4X2+12X-20=0
(X2-4X2)+(-2X+12X)+(-20+8)= 0
-3X2+10X-12=0
3X2-10X+12=0
Use quadratic formula To find the answer
answer (5±Root11i)/3
master
Soo sorry (5±Root11* i)/3
master
x2-2x+8-4x2+12x-20
x2-4x2-2x+12x+8-20
-3x2+10x-12
now you can find the answer using quadratic
Mukhtar
2x²-6x+1=0
Ife
explain and give four example of hyperbolic function
I think the formula for calculating algebraic is the statement of the equality of two expression stimulate by a set of addition, multiplication, soustraction, division, raising to a power and extraction of Root. U believe by having those in the equation you will be in measure to calculate it