150 ft. 53 ft.

Q: 2. The cosine of an obtuse angle is -0.78. Calculate the sine of this angle to 4 decimal places. 3.…

A: 2) Given:       Cosine of an obtuse angle              cosθ=-0.78                  θ=cos-1-0.78…

Q: Directions: Show all of your work, and solve the following problems without the use of a calculator.…

A:

Q: Suppose the figure below is an exaggerated diagram of a plane flying above the earth. The plane is…

A: Let O be the radius of the circle and AC=x Now,  AB is 5.05 mi and radius of earth OB is 4000 mi.…

Q: a. When Frank initially sees the coyote, the angle of depression for his vision is 6 degrees. Draw a…

A: Frank stands at the top of a cliff. On the ground 310 feet below, frank spots a coyote.

Q: 13. Each of two tangents from an external point to a circle is 3 m long. The smaller arc which the…

A:

Q: sin0 = 响 √√2 2

A:

Q: a2 -u? du (uva? – u² + a² arcsin +C a

A: Given:          ∫a2-u2du Perform trigonometric substitution:  substitute…

Q: 3. Simplify the trigonometric equation. (1 + cot?x)sin2x

A: GIven : (1 + cot2(x)) sin2(x)

Q: Find the tangent of 60°. V3 V2 OV3 01 2.

A: Using the tangent relation, it can be written that tan x=sin xcos x.

Q: 63

A:

Q: Please help!

A: Redraw the figure as follows.

Q: Given the figure above, solve for the missing angle, x. Do not include units in your final answer;…

A: The given figure isFrom the figure,

Q: Consider the angle shown below with an initial ray pointing in the 3-o'clock direction that measures…

A: Let's solve.

Q: a. Using the Law of Sines, determine the value of m/C. You should notice that there are actually two…

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Q: 20. a = ,b =10 (3,9) (8,0)/ (12,0)

A:

Q: Evaluate (if possible) the sine, cosine, and tangent at the real number t. (If an answer is…

A:

Q: heorem to complete the proble that follows. 21. A recent storm blew a portion of gutter off the back…

A: Pythagoras theorem

Ratios

A ratio is a comparison between two numbers of the same kind. It represents how many times one number contains another. It also represents how small or large one number is compared to the other.

Trigonometric Ratios

Trigonometric ratios give values of trigonometric functions. It always deals with triangles that have one angle measuring 90 degrees. These triangles are right-angled. We take the ratio of sides of these triangles.