An isosceles triangle is to be drawn with its two equal sides of length 12. What is the maximum possible area of the triangle? Note: The area of a triangle is given by one-half the product of the two sides and the sine of the included angle.

Q: 2. A giant west coast cedar leans at an angle of 85° to the horizontal. A man is lying down 70 m…

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Q: Consider the triangle AABC with sides a 5 and b = 4, and ZA = 120°. Use the Law of Sines to…

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Q: Consider a right triangle with a side of length x opposite angle A, a side of length y opposite…

A: We can find the value of y and z as below

Q: For positive acute angles A and B, it is known that cosA= 12/13 and tanB=8/15. Find the vaule of…

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Q: An angle of measure π6 intersects the unit circle at point (32, 12). What is the exact value of…

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Q: The sides of a parallelogram are 16 m and 10 m, and the longer diagonal makes an angle of 18° with…

A: Let x be the length of the longer diagonal use law of sines to find the value of x from the lower…

Q: If, in a right triangle, theta = 17o and hypotenuse has length 8, how long is the side adjacent to?…

A: one angle in right angle triangle is given as, θ = 17° Length of hypotenuse = 8 Length of adjacent…

Q: A circle has a radius of 13 in. Find the radian measure of the central angle 8 that intercepts an…

A: Introduction: What is the equation for the sector of a circle's arc length, If PQ subtends an angle…

Q: 3. Find the six circular functions of the angle e generated by an arc with a length equal to .

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Q: Suppose you have a friend who is 6 feet tall. At what distance must your friend standso that he or…

A: Suppose you have a friend who is 6 feet tall.

Q: snip

A: To Show: a formula for the altitude h from a vertex to the opposite side a of a triangle…

Q: Consider a right triangle with a side of length x opposite angle A, a side of length y opposite…

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Q: In a right triangle, the side opposite angle β has a length of 16.4 cm. The hypotenuse of the…

A: Given that: Side opposite to angle β, p=16.4 cmHypotenus of triangle, h = 25.1 cm

Q: The sine of any acute angle must be greater than____-and less than____?

A: Let the acute angle is θ We have the interval of acute angle 0<θ<π2

Q: Russel and Mikko were tasked by sir Gian to take a picture of a certain status from a platform, the…

A: Let the angles, be θ,α as drawn in the figure. From , the figure we have : tan α=8x --(1) and, tan…

Q: A volleyball is hit when it is 4 ft above the groundand 12 ft from a 6-ft-high net. It leaves the…

A: Explanation: Firstly we will draw the diadram                                According to the…

Q: Given a triangle on a hyperbolic surface of absolute length R with a sum of the vertices equalling…

A: The below figure represents the half plane model which is same as Euclidean angles,A hyperbolic…

Q: A man standing on a 45m building high, has an eyesight height of 1.5m from the top of the building,…

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Q: The area of one lobe of r = 3 sin(40) is

A: Given: The equation of one lobe is, r2=3sin4θ

Q: Consider the triangle AABC with sides a = 5 and b = 4, and ZA = 120°. Use the Law of Sines to…

A:

Q: A ladder leans up against a building at an angle of 65° with the ground. If the ladder is 5 metres…

A: Given: A ladder leans up against a building at an angle of 65° with the ground. The ladder is 5…

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…

Q: A 25-ft ladder leans against a building so that the angle between the ground and the ladder is 65°.…

A: Here, AB is the ladder.AB=65∠ABC=65° We need to find the value of AC.

Q: What is the wave speed of a wave that has a frequency of 50 Hz and a wavelength of 2.0 m?

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Q: Show that a formula for the altitude h from a vertex to theopposite side a of a triangle is

A: Given: h=asinB sinCsinA

Q: A ladder is mounted on a fire truck that is 8 feet above ground. If the maximum length of the ladder…

A: Given: A ladder of maximum length 120 feet is mounted on the fire truck which is 8 feet above the…

Q: A 36-ft ladder leans against a building so that the angle between the ground and the ladder is 82°.…

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Q: The standard formula for the tangent of the sum of two angles is tan(A + B) = (tanA+tanB)/tanAtanB)…

A: Using the identity:

Q: Find the six circular functions of the angle 0 generated by am 11n arc with a length equal to 6.

A: Given,  Arc length,  S=11π6 θ=Sr If we take r=1,  We get, θ=S Hence, θ=11π6radians or 330°

Q: 1. The lower edge of a picture is 4 ft., the upper edge is 9 ft above the eye of an observer. At…

A: The solution of given question is shown below.

Q: Consider a square-based straight pyramid. Suppose that the base is a square with sides 10 km long,…

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Q: Suppose the tip of the minute hand of a clock is 5 in. from the center of the clock. Determine the…

A: Given that, The length of the minute hand of the clock is 5 inches.We have to obtain the distance…

Q: Find a positive angle less than 2 pi that is coterminal with 31 pi over 8?

A: To express the given angle in the standard form (between 0 and 2*pi)

Q: • A Statue 10m high is standing on a base of 2m high, If an observer's eye is 1.2 m above the…

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Q: 2. Find the lengths of both circular arcs of the unit circle connecting the point (–V2/2, -V2/2) and…

A: I have given you detailed solution and also explained each and every step so that you can get it…

Q: Two cities are approximately 600 miles apart on the surface of the earth. Assuming that the radius…

A: The distance between the two cities on the surface of the earth is 600 miles. The radius of the…

Q: If the cos of angle x is 8/17 and the triangle was dilated to be two times as big as the original,…

A: topic -  triangle geometry

Q: THEOREM 8.2.3 If a secant and a tangent to a circle intersect at the contact point, then the degree…

A: O : center of the circle AP : Secant line QP: Tangent line P = point of intersection OA = OP =…

Q: A vertical pole, 60 feet tall, casts a shadow on the ground. If the angle of elevation from the tip…

A: Solution: The objective is to find the length of the shadow

Q: A 26-ft ladder leans against a building so that the angle between the ground and the ladder is 78°.…

A: Topic-hight & distance

Q: Find the lengths of both circular arcs of the unit circle connecting the point (-V2/2, -V2/2) and…

A:

Q: During a total eclipse of the sun, the moon is directly in line with the sun and blocks the sun's…

A: From the diagram, we have:-∆BDA is similar to ∆CDE.Since, we know that when triangles are similar so…

Q: Segment AB has point A locates at (8, 9). If the distance from A to B is 10 units, which of the…

A: Given A(8,9) say B(x,y) and distance between them is 10 units

Q: Atunnel under a river is 197.3 ft below the surface at its lowest point, as shown in the drawing. If…

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Q: Give the values of the six circular functions of the standard angle 0 generated by an arc whose…

A: Since there are multiple questions posted, we will answer the question posted (2). If you want the…

Q: Find the six trigonometric ratios of each of the acute angles of the given right triangle:

A: Given that:

Q: 14. If 0 is an angle in standard position and its terminal side passes through the point (S,-)0 on a…

A:

Q: in a right triangle angle theta has a cosine value of 0.755. The sidebadjacent to angle theta has a…

A: given,       and cosθ=0.755