Question
43925
Copyright 2013 Priya Boindala
1.
How do we refer to the sides a, b and c with reference to the angle .
Side 'a' is called the side opposite to angle theta.
Side 'b' is called the side adjacent to angle theta.
Side 'c' is the hypotenuse.
Question 43925
Copyright 2013 Priya Boindala
Question
43928
Copyright 2013 Priya Boindala
2.
Use the given right triangle and find the Cot .
Write your answer as a simplified fraction.
Cot (theta) = Adjacent side / Opposite side.
In the figure, we are given the adjacent side = 21 and the hypotenuse = 35, so we need to use the Py thagorean identity to find the opposite side.
Opposite side ^ 2 = Hypotenuse ^2 - Adjacent side ^2
Opposite side^2 = 35^2 - 21^2 = 784
Opposite side = sqrt (784) = 28
Now Cot(theta) = 21/28 = 3/4
Question 43928
Copyright 2013 Priya Boindala
Question
43933
Copyright 2013 Priya Boindala
3.
Two angles are complementary if they add up to 90 degrees or pi/2
Which of the following pairs of angles are Complementary?
A.
,
B.
Complementary
,
C.
,
D.
,
Question 43933
NOT
Complementary
NOT
Copyright 2013 Priya Boindala
Question
43935
Copyright 2013 Priya Boindala
4.
Find the Cofunction with the same value as
The pairs of Co-functions are
Sine, Cosine
Tan, Cot
Sec, Csc
If we find the value of a trigonometric function at an angle THETA, then it is the same as evaluating its CO-Function at the Complementary angle.
The angle complementary to 37 degrees = 90 - 37 = 53 degrees.
The Cofunction of Csc is Sec.
So, Csc (37 deg) = Sec (53 deg)
Question 43935
Copyright 2013 Priya Boindala
Question
43939
Copyright 2013 Priya Boindala
5.
In the above right triangle, if some body said
, they would be...
A. Right
RIGHT; because sine and cos are Co-Functions and 61 degrees and 29 degrees are complementary to each other.
B. Wrong
Question 43939
Copyright 2013 Priya Boindala
Question 43939
Copyright 2013 Priya Boindala
Question
43943
Copyright 2013 Priya Boindala
6.
Use a calculator to find the value of the acute angle to the nearest degree.
To find the angle theta, we evaluate Inverse Tangent at 26.0307
If you use your calculators, you should get 88 degrees.
Make sure your calculator's MODE is set to Degrees when answering this problem.
Question 43943
Copyright 2013 Priya Boindala
Question
43945
Copyright 2013 Priya Boindala
7.
Use a calculator to find the value of the acute angle in radians.
Round to three decimal places.
This time, you need to find inverse Cos (0.4112).
Make sure your MODE is set to radians, when answering this question.
You should get 1.147 radians.
Question 43945
Copyright 2013 Priya Boindala
Question
43950
Copyright 2013 Priya Boindala
8.
The trigonometric function that relates the side opposite to 5 degrees and the hypotenuse is the Sine function.
Sin(5deg )=a/5000 Now, solving for a, we get,
a=5000• Sin(5deg) .
Make sure your mode is set to degrees. You should get a = 436 ft after rounding.
Question 43950
Copyright 2013 Priya Boindala
Question
43954
Copyright 2013 Priya Boindala
9.
We know, the height of the pole is 60 feet. The angle we need to find is represented here with a (?)
We know the adjacent side to this unknown angle and the hypotenuse. The trigonometric function that relates these two sides is Cos.
Cos (unknown angle) = 60 / 75; This fraction can be simplified to 4/5
Now the unknown angle can be found by finding Inverse Cos (4/5) Which would give us 37 degrees.
Question 43954
Copyright 2013 Priya Boindala
Question
43955
Copyright 2013 Priya Boindala
10.
The vertical height is given as 30 feet.
So we are given the side opposite to the angle - 9 degrees.
We need to find the hypotenuse.
The trigonometric function that relates the
opposite side and the hypotenuse is Sine.
Sin(9 deg) = 30 / Hypotenuse
Hypotenuse = 30/ sin(9 deg)
Hypotenuse = 192 feet.
So the distance 550 workers have to drag the stone 192 feet, in order to raise the stone to a height of 30 feet.
Round your answer to the nearest foot.
Question 43955
Copyright 2013 Priya Boindala