A steel beam is supported by triangular-shaped braces. The sides of each brace have lengths of 70ft, 45ft, and 39ft. find the measure of the angle opposite of the 45 ft side.

Q: A triangle has a length of 38 cm and 42 cm on its two sides, and the angles opposite to these sides…

A:

Q: Given AC is a diameter of circle D, what is the measure of angle BAC

A: To find the angle BAC

Q: Your neighbor's yard is in the shape of a triangle, with dimensions 120 ft, 84 ft, and 85 ft. Is the…

A: Given yard is in the shape of triangle, with the dimensions 120 ft, 84 ft  and  85 ft.

Q: Is it possible to draw a triangle whose sides measure 7,7,and 14?

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Q: The heights of two right prisms are 18 ft and 30 ft. The bases are squareswith sides 8 ft and 15 ft,…

A: Given, The heights of two right prisms are 18 ft and 30 ft. The bases are squareswith sides 8 ft and…

Q: The sides of a parallelogram, which measure 7 cm and 17 cm, form an angle of 62 degree. How long is…

A: Given : Parallelogram sides = 7 cm , 17 cm  Angel = 65°

Q: A parallelogram has adjacent sides of length 4 cm and 6 cm. If the included angle measures 52°, find…

A: We use Trigonometry ratios  Area of parallelogram = Base X Height

Q: The arm and blade of a windshield wiper have a total length of 34 inches. If the blade is 25 inches…

A:

Q: A playground slide is 14.5 feet long and the end of the slide 11.7 feet from the base of the ladder.…

A:

Q: The sides of a triangle have lengths of 22cm, 26cm, and 30 cm. Which of the following can be the…

A: The sides of a triangle have lengths of 22cm, 26cm, and 30 cm.

Q: What is the sum of the measures of the exterior angles of a quadrilateral? If necessary, round to…

A:

Q: A pilot is flying over a straight angles of depression to two mil 38° and 42°, as shown in the fi

A: The flight path of the plane and the highway would be parallel, thus angle A would be the alternate…

Q: In the design of a new building, a doorway is 2.65 ft above the ground. A ramp for the disabled, at…

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Q: A triangle has angles measuring 30°, 30°, and 120°. If the congruent sides measure 6 units each,…

A: The circumscribed circle of a triangle is a circle that passes through all three vertices of the…

Q: A car is travelling around a circular road whose diameter is 20 m. If the distance traveled by the…

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Q: with side length 3 mi and slant height 3 mi. 3 mi 3 mi

A: Area is perimeter × slant height

Q: The radius of the base of a right circular cone measures 5 in. If the altitude of the cone measures…

A: Given that the radius of the base of a right circular cone measures 5 in. The altitude of the cone…

Q: The springboard that Eric uses in his gymnastics class has 6 - inch coils and forms an angle of 14.5…

A:

Q: If a triangle has two angles that measure 45 to 90 degrees, what is the measure of the third angle?

A: Given problem is : If a triangle has two angles that measure 45 to 90 degrees, what is the measure…

Q: Given a Regular pentagon with side length of 6 ft, find the Area by finding the following, what is…

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Q: An interior angle of a regular polygon measures 165. If each side of the regular polygon measures 10…

A: We are asked to find the area and perimeter of the regular polygon.

Q: The lengths of the sides of a triangle are 5 cm, 12 cm, and 13 cm. Find the lengths, to the nearest…

A: Consider the given: And AD, BE and CF are the angle bisectors. By using angle bisector theorem:

Q: Given the lengths of the three sides of a triangle (SSS), why is the law of cosines used to find the…

A: The cosine rule of triangle are: cosA=b2+c2-a22bccosB=a2+c2-b22accosC=a2+b2-c22ab If the length of…

Q: triangle

A:

Q: A playing card is 3.5" tall and 2.5" wide. Two cards in portrait are made to lean against one…

A:

Q: The sides of a parallelogram are 14 ft and 16 ft. One angle is 41° while another angle is 139°. Find…

A:

Q: A right triangle has one angle that measure 23°. The adjacent leg measures 27.6 cm and the…

A: Given, Hypotenuse  =30cm = AB (let) One side (adjacent given)= 27.6 cm =BC (let)  Let Other side =…

Q: An isosceles triangle has an area of 29 cm2, and the angle between the two equal sides is 5π/6. Find…

A: Given,

Q: Find the area of a triangle that has sides of length 4 and 5, with an angle of 41° between those…

A: Directly use the formula for the area of triangle when two sides and angle between them is given.

Q: Given a triangle with sides that measure 4ft, 5ft, and 6ft. Find the area in square feet. Round to…

A:

Q: A triangle with an angle measure of 90° and lengths of 4 cm, 7 cm, and 4 cm is

A:

Q: 2. From a point on the ground 12 ft from the base of a flagpole, the angle of elevation of the top…

A: #2  Find the length of the flagpole

Q: The top and bottom ends of a wind- shield wiper blade are 34 in. and 14 in., respectively, from the…

A:

Q: To the nearest degree, find the measure of angle A. 20 in 18 in

A: Given a right angle triangle with sides 18 in and 20 in.

Q: The trusses of the roof of a house are in the form of an isosceles triangle. If the sides have…

A: Given :  A isosceles triangle with the sides 4m, 4m and 7m.   To find :  Measure of angle formed by…

Q: The angles of a triangle are in a ratio of 2:3:5. If the largest side measures 12 in ., find the…

A:

Q: A lot is in the shape of a triangle whose two sides measure 150 m and 100 m, with the angle between…

A:

Q: The sides of a parallelogram are 10 and 20 in long and the included angle is 40°. What is the height…

A:

Q: The cross-section of a beehive reveals it is made of regular hexagons. What is the measure of each…

A: If a regular polygon has n sides then the sum of interior angles of a polygon is  Sum of interior…

Q: The diagonals of a rectangle enclose an angle of measure 78°. If the perimeter of the rectangle is…

A: Let the length and the breadth of the rectangle be l and b.   Then we have,…

Q: A roof truss is shaped as an isosceles triangle (two "rafter" sides are equal length). If the total…

A: .

Q: Find the measures of the angles of a right triangle whose legs are 22 cm and 35 cm long. Round to…

A: sum of all angles of triangle is 180 degrees

Q: A triangle has side lengths of 10 in., 16 in., and 18 in. Classify it as acute, obtuse, or right. A.…

A: Let a, b and c  are the sides of a triangle.     Consider, 'c' as the longest side and 'a' and 'b'…

Q: The corresponding sides of two similar triangles are 7 cm and 8 cm. What is the ratio of their…

A:

Q: Find the measure of an angle that is half as large as its complement.

A: let the measure of the angle is m∠Aand measure of its complement angle is m∠B. sine it is given that…

Q: Determine the length of side a, to the nearest tenth of a centimetre, given that b = 33.4 cm, angle…

A: Given:-  b= 33.4 cm, angle B = 82°, and angle c = 64°. To find:- Side a

Q: A welder has four pieces of scrap steel angle of lengths 3 1 4 ft, 2 3 8 ft , and 4 3 16 ft . If…

A: Lengths of the scrap steel angle are 314 ft, 238 ft and 4316 ft

Q: A parallelogram has an area of 200 cm². The side lengths are 90 cm and 30 cm. Find the measures of…

A:

Q: The lengths of a triangle are 9 ft, 20 ft, and 14 ft. Tell whether this triangle is acute, obtuse,…

A: Topic = Triangles

Q: Each of the congruent legs of an isosceles triangle is 20 cm long. The measure of the vertex angle…

A: cosθ=adjacenthypotenuse

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.