person standing 388 feet from the base of a church observed the angle of elevation to the church's steeple to be 42∘. How tall is the church? (Give your answer to the nearest whole number)

Q: The angle complementary to 36.7\degrees is

A: Two angles are called complementary when their measures add to 90°

Q: 21. The length of a string from the center of a yo-yo to tip of Tony's middle finger is 12 cm. If…

A: Given- The length of a string from the center is 12 cm, after swing it made an angle of 155°. To…

Q: Find the following arc measures Angle DE Angle FE Angle DEF Angle CFD Angle DFE

A: This question is about application angle geometry

Q: m21 210 °

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Q: 7. John is flying a kite at an angle of 30°. If the kite Is 10 ft. away from John, how long is the…

A: The angle made by the kite string and the J is 30 degree. The horizontal distance between the J and…

Q: Label the sides of the triangle with H for hypotenuse, O For opposite side, A For adjacent side then…

A: The given figure -  Where H represents the hypotenuse. O is the opposite side and A is the adjacent…

Q: Express the angle in terms of degrees, minutes, and seconds, to the nearest second.

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Q: An angle has measurement 98.6 degrees. What would be the measurement, in degrees, of a supplementary…

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Q: If a 29.5 meter building casts a 32-meter shadow, what is the angle of elevation of the sun?  Round…

A: The figure is given by To evaluate : The value of θ if the height of the building, h = 29.5 m and…

Q: Brian's kite is flying above a field at the end of 65 m of string. If the angle of elevatiom O 21 O…

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Q: Find the area of the sector of a circle of radius 10 units subtended by an angle of 350∘. Round your…

A:

Q: How far does the tip of the minute hand of a clock move in 40 minutes if the hand is 4 inches long?…

A: We have to find distance of the tip of the minute hand of a clock move in 40 minutes if the hand is…

Q: Find the measure of the central angle for a 9-gon. If needed, round to the nearest whole degree.

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Q: An isosceles triangle has legs of 18 inches and an altitude of 14 inches. Determine the measure of…

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Q: AB = 100, AC:AB = 0.602; find AC and BC. Also find ∠B, knowing that for the ratio 0.602, ∠A ≈ 53°

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Q: Find the measures of the numbered angles in each rectangle. 7. 21 61° 4. 3. 5.

A: 61° and ∠2 are alternative angles hence they will be equal∠2=61°each angle of rectangle is 90°hence…

Q: Leanne tries to construct a square inscribed in circle O. She draws diameter AB and then draws two…

A: To draw a square inscribed in a circle.

Q: 12. Jake leaned a 12-foot ladder against his house. If the angle formed by the ladder and the ground…

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Q: Find angle 4 in the diagram below if angle 2 = 9(x+6) and angle 4 = 2(5x+21).

A: Find angle 4 in the diagram below if angle 2 = 9(x+6) and angle 4 = 2(5x+21).

Q: The angle measures of a hexagon add up to 720°. What is the measure of angle Z?

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Q: There is an escalator that is 1083.6 feet long and drops a vertical distance of 196.1 feet. What is…

A:

Q: How many distinct triangles can you draw which have one angle measuring 34° one angle measuring 69°…

A: Given, one angle is 34° one angle is 69° one angle is 77°

Q: find the area of the windshield cleared by a wiper blade that is 18in long, at the end of a 23 in…

A: We need to find the area of the windshield cleared by a wiper blade that is 18in long, at the end of…

Q: An angle is bisected, forming two new angles. If the original angle had a mgasure of 12.2°, what is…

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Q: In ASTU, the measure of ZU=90°, US = 7.3 feet, and ST = 9.8 feet. Find the measure of ZS to the…

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Q: What is the measure of the inscribed angle abc if the measure of the intercepted arc is: 57 degrees…

A: We will use the theorem for circle: The measure of an inscribed angle is equals to half of measure…

Q: From a boat on the river below a dam, the angle of elevation to the top of the dam is 14°57'. If the…

A:

Q: A 45 foot ladder leans against a wall so that it can reach a window 33 feet off the ground. What is…

A: A 45 foot ladder leans against a wall so that it can reach a window 33 feet off the ground. What is…

Q: 3. A kite flier wondered how high her kite was flying. She used a protractor to measure an angle of…

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

Q: To find the area of a triangle given two sides and the angle between them, multiply______ the…

A: Consider a triangle with sides a,b and let θ be the angle between them. The area is given by A=ab2…

Q: Given AB = 100 and AC %3D АВ .602; find AC %3D and BC. Also find A and B, knowing that the ratio…

A: Given that:

Q: Refer to the following figure, where AB = AD andmZD=54. B Find the measure of angle B. O a. 108…

A:

Q: Refer to the following figure, where AB = AD and mZD=54. B A. D Find the measure of angle B. O a.…

A: Explanation of the solution is given below...

Q: Find the sum of the measure of the numbered angles in the figure shown to the right. The sum of the…

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Q: A diagonal of a parallelogram makes angles of 32o and 43o respectively with the sides.If the…

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Q: The Americans with Disabilities Act states that ramps must have an angle less than or equal to 4.8…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: What is the sum of the interior angles of a Decagon o 1800 о 360 o 180 o 1440

A: Given,  A decagon We have to find the sum of all the interior angles of decagon.

Q: From the top of a lighthouse 92 feet high, the angle of depression to a small boat is 41.9172°. How…

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Q: In terms of the secant of a positive acute angle, what is the expression for sec195∘? Do not include…

A: We use the identity cos(180+θ)=-cosθ

Q: Dr. Lawrence is standing 34 feet away from a tree, and measures the angle of elevation to be 42°.…

A: Using the trigonometric function tan x  we can find the height of the tree.

Q: In terms of the cotangent of a positive acute angle, what is the expression for cot 17pi/9 ?

A: To write the expression for  cot 17 π9  in terms of the cotangent of a positive acute angle

Q: What is the complement of the supplement of the angle 114º?

A: Given :           Angle is 1140   To find :            The complement of the supplement of an angle…

Q: In ΔTUV, the measure of ∠V=90°, TU = 24 feet, and VT = 15 feet. Find the measure of ∠U to the…

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Q: The measures of the three angles whose sum is 112° are in the extended ratio 3:4:7. Find the exact…

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Q: 1. Robert's kite is flying above a field at the end of 66m of string. If the angle of elevation to…

A: “Since you have posted multiple questions, we will solve first question for you. To get remaining…

Q: What is the height of a right triangle with a base angle 30° and a base of 14. Round answer to…

A: Given: The base of the triangle is:  14 Base angle is:  30°

Q: Given AC = 7, AB = 25; find BC. Also find ∠B, knowing that for the ratio 7:25, ∠A ≈ 74°. If…

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Q: 7. If you were going to hike to the top of the pyramid of Khufu, Which route is less steep, via h or…

A: Consider the given diagram. As in the given figure, the height is 147 and the base of the length is…

Q: The measures of five of the interior angles of a hexagon are 150°, 100°, 80°, 165°, and 150°. What…

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Q: Quadrilateral ABCD is inscribed in a circle where BD¯ is a diameter of the circle and m∠ADC=62°.…

A: A cyclic quadrilateral is a quadrilateral whose vertices are inscribed in a circle Opposite angles…

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.