Question 5: Calculate x Give each answer to 2 decimal places. (a) (b) 37cm (c) Bcm 16km Tkm 40cm 5cm 22cm (d) (e) 2.3mm 1 mile 2.5mm 97cm 0.4 miles Question 6: Calculate x for each right angle triangle. Give each answer to 2 decimal places. (a) (») (c) 4cm |12cm 7cm 6cm 7cm 20cm (d) (e) 19cm 1.3km 9cm 35m 51m 1.7km (R) (h) 0.5cm 17cm 26cm 14mm 0.7cm 2.1cm (k) (1) 90cm 11cm Ikm 3.5m 80mm 90000cm

Q: Explain why the Pythagorean Theorem is a special case of the Law of Cosines.

A: Consider the following figure: Law of cosine: c=a2+b2-2abcosθ

Q: 7. A guy wire 15 feet long is fastened to a point 13 feet above the foot of a vertical pole, which…

A:

Q: The ________ speed of a particle is the ratio of the change in the central angle to the elapsed…

A: The ........ speed of a particle is the ratio of the change in the central angle to the elapsed…

Q: 2. A rocket is launching vertically upward from a point 2 miles east of an observer on the ground.…

A: Let's find speed of rocket.

Q: What is the relationship between the sine and cosine of complementary angles and why is it true?

A: The sine of any acute angle is equal to the cosine of its complement.The cosine of any acute angle…

Q: 2. a. A boy is flying two kites at the same time. He has (250+ 0) feet of line out to one kite and…

A: Note:  We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: The angle of elevation of the top of a tree odserved from a point 60m away from its foot the tree.…

A: To find the height of the tree

Q: An object is traveling around a circle with a radius of 13 meters. If in 10 seconds a central angle…

A: Given,           An object is travelling around a circle with a radius of 13 meters. If in…

Q: An observer stands 1,200 m away from a launch pad to observe a rocket launch. The rocket blasts off…

A: Here I am attaching image so that you understand each and every step.

Q: 26. / cor' u du = cor? и - In | sin ul + с

A:

Q: How do i calculate right triangles?

A: We have to define right triangle in the given question.

Q: A train track through a mountain is 2400 feet long and makes an angle of 1.5° with the horizontal.…

A:

Q: A 15 ft tree casts a 5.3 ft long shadow. What is the angle formed by the sun's rays and the ground?…

A: This can be considered as a right angled triangle of height = 15 ft and base = 5.3 ft  Let sunrays…

Q: You are standing 20 feet from the base of a monument. The angle formed by the ground and your line…

A:

Q: Sketch a triangle that has acute angle 0. tan(0) = 2

A: See attached file for a step by step explanation.

Q: 5. A little girl is watching planes take off of the runway from a building's rooftop 400 meters away…

A: We will find the solution in the following step

Q: Suppose that you are headed toward a plateau 34 meters high. If the angle of elevation to the top of…

A:

Q: The diagram below shows a right triangle that has side lengths of 7.75 and 1.98 cm and interior…

A: The given figure is

Q: An object is traveling around a circle with a radius of 10 centimeters. If in 20 seconds a central…

A:

Q: A rain gutter is to be constructed from a metal sheet ofwidth 30 cm by bending up one-third of the…

A: A rain gutter is to be constructed from a metal sheet ofwidth 30 cm by bending up one-third of the…

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A:

Q: An airplane traveling at 600 mph at a cruising altitude of 6.9 mi begins its descent. If the angle…

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Q: A security camera in a neighborhood bank is mounted on a wall 10 feet above the floor. What angle of…

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Q: A million years ago, an alien species built a vertical tower on a horizontal plane. When they…

A: Given points (0,0,0)  , (2,2,0)   , (0,3,2)first we find cross product of (2,2,0)    and…

Q: Explain why the sine or cosine of an acute angle cannot be greater than or equal to 1.

A: Let us consider a right angled triangle as below. Here θ is an acute angle. In the right angled…

Q: Suppose that you are headed toward a plateau 67 meters high. If the angle of elevation to the top of…

A:

Q: A 5.8-foot-tall engineer restructures a beam bridge that connects to the top of a cliff. The…

A:

Q: The terminal side of angle λ intersects the unit circle at point (-0.358, 0.934). Based on these…

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A: It is given that, Terminal side intersect unit circle at 513, y in 4th quadrant. Let, the angle made…

Q: You stand 15 feet from the base of a water tower and look un at an angle of 78° at the top of the…

A: Draw the whole situation and mention the angle, hight given than use tangent ratio in the right…

Q: Jose is sitting in a tree, so that his eyes are 3.2 m above the ground. When he looks down at an…

A: Jose is sitting in a tree, so that his eyes are 3.2 m above the ground. When he looks down at an…

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A:

Q: The altitude of a mountain peak is measured as shown in the figure to the right. At an altitude of…

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Q: Stuck on finding the angles for:   sinx=- square root of 3, /2

A: Given information:The given equation is

Q: Refer to the triangle and compute the quantities indicated. (Enter your answers in exact form.)

A:

Q: Convert (r, e, z) = (5, -5) to (x, y, z) and (p, 0, ). Angle in radian, up to two decimal places.

A: Given, The cylindrical coordinates are r, θ, z=5, 3π4, -5

Q: The shadow of a red-pine tree in northern Minnesota is 131 feet long when the angle of depression…

A:

Q: . What is the mathematical relationship between sine and cosecant, cosine and secant, and tangent…

A:

Q: Verify that (sinA)² + (cosA)2 =1 for the angle measure. %3D mLA = 45° II II 2) 2.

A: Given  m∠A=45° To verify  sinA2+cosA2=1 The values here will be sin45°=22cos45°=22

Q: 4. Write the Double angle formulas for sine cosine and tangent

A: Solution:-

Q: An object is traveling around a circle with a radius of 12 feet. If in 20 seconds a central angle of…

A:

Q: How does the law of cosines generalize the Pythagorean theorem?

A: We have to show that the law of cosines generalize the Pythagorean theorem.

Q: A rain gutter is to be constructed from a metal sheet of width 30 cm by bending up one-third of the…

A: The amount of water that the gutter can carry is directly proportional to the area of the…

Q: Find the value of the acute angle 8 if √2 sine = 1.

A: Solution of given question is written in below steps.

Q: A rain gutter is to be constructed from a metal sheet of width 30 cm by bending up one-third of the…

A: i attached the picture of solution

Q: What is the relationship between cosine and sine in relation to complementary angles?

A: Since the ratios sine of an angle and cosine of an is complementary ratios.

Q: A 5.8-foot-tall engineer restructures a beam bridge that connects to the top of a cliff. The…

A:

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: