The legs of a right triangle have lengths 5 and 12. What is the tangent of the angle opposite the leg with length 12?

Q: Assume that the figures shown to the right are similar. Given the lengths of sides and measures of…

A: Similar Triangles: The three-sided polygon is known as a triangle. The following conditions apply to…

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

A: Given,

Q: From the top of a 187-ft lighthouse, the angle of depression 2 to a ship in the ocean is 15°. How…

A: Given,          From the top of a 187- ft lighthouse. the angle of depression to a ship          in…

Q: 3. If a guy wire for a tree is 14 ft long, making 41° angle with the ground, how far is the base of…

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

Q: A ramp at the top of a 4 ft high truck dock is to be constructed with an angle of inclination of…

A: Given Information -  A ramp is to be constructed at the top of a 4 ft high truck dock. the angle of…

Q: A roof truss spans a width of 8.2 m. One piece of the truss is 6.8 m long and set at an angle of…

A:

Q: a right triangle has leg opposike to angle e of length 9 and its leg adiacent to angle 0 is length…

A: Find your answer below

Q: - How far from the wall of a building is the base of a 33 ft. ladder which makes an angle of 70"…

A: Here, hypotenuse = 33ft  Angle = 70°  We have to find the base .

Q: In a certain right triangle, the two sides that are perpendicular to each other are 4.40 m and 6.20…

A: for a triangle, two sides are perpendicular to each other which means the triangle is right angle…

Q: Suppose a certain baseball diamond is a square 90 feet on a side. The pitching rubber is located…

A:

Q: Find the area of a triangle with sides of length 11 and 28 and included angle 5°. (Round to the…

A:

Q: A ladder is leaning against the top of a building. If the ladder is 12.5 m long and 3m from the base…

A:

Q: The Statue of Liberty is approximately 305 feet tall. If the angle of elevation of a ship to the top…

A: We have to find

Q: A building is 50 ft high. At a distance away from the building, a person notices that the angle of…

A:

Q: The tangent of an angle is ____ greater than 1 .

A: We have to find at what angle the tangent greater than 1.

Q: A ladder that is 16 foot long liens against a vertical wall such that it’s based makes a 60° angle…

A:

Q: Consider a triangle whose shortest sides have lengths 9 and 12. The longest side of the triangle has…

A: As per question given triangle is right angle triangle  Longest side of right angle  triangle is…

Q: The base of a ladder is 6 ft from the building, and the angle formed by the ladder and the ground is…

A:

Q: A right triangle has one angle measuring 40° and opposite side of length 6. Find the length of al…

A:

Q: Each of the legs of an isosceles triangle is 40 cm in length. The base is 30 cm in length. Find the…

A: The question described above is drawn below. Since the perpendicular bisector in isosceloes…

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

A:

Q: The angle of inclination from the base of skyscraper A to the top of skyscraper B is approximately…

A:

Q: which triangle has a tangent of 1? please provide a picture to show your work

A: We can use following table to know relation between different angles and their tangent. different…

Q: Suppose a certain baseball diamond is a square 70 feet on a side. The pitching rubber is located…

A: Side AC =70 feet AB=47.5

Q: Consider a right triangle whose two short sides have lengths of 5 and 12 feet, respectively. Then…

A:

Q: A 15-foot ladder leans against a wall and makes an angle of 65° with the ground. What is the…

A: when ladder lean in a wall it behaves as a hypotenuse of a right angled triangle

Q: a right triangle has a hypotenuse of length 2.5 and one leg of length 2. the length of the other…

A: Given, a right triangle has a hypotenuse of length 2.5 and one leg of length 2. To find, the length…

Q: The angle between the tangents to a circle from a point P is 48°30’. The radius of the circle is 10…

A:

Q: A 25-foot ladder is leaned against a house. If the base of the ladder is 8 feet away from the house,…

A:

Q: A right triangle is inscribed in a circle with a radius of length 5 cm. If one of the angles of the…

A:

Q: Find the area of a se tor of a circle with the radius 6 cm.if the angle of the section is 60o

A:

Q: Verify that line segments of length 8, 19, and 25 cm form a triangle and classify the triangle as…

A: Triangles:  Triangle is a closed figure bounded by three line segments. A triangle can be Scalene,…

Q: A billboard, 54 feet wide, is prependicular to a staright road and is 18 feet from the nearest point…

A:

Q: A loading ramp is extended from the back of a truck to form a 30° angle with the ground. The truck…

A: the length of the ramp is xx feet angle with the ground=30°

Q: Next Find the area of a triangle with sides of length 15 and 21 and included angle 43°. (Round to…

A:

Q: A ladder rests against a building at a point that is 95 feet from the ground. If the ladder makes a…

A: A ladder rests against a building at a point that is 95 feet from the ground.The ladder makes a 37°…

Q: A woman is standing on the ground at a point 78ft from the base of a building. The angle of…

A: We have given that woman standing o the ground at a point 78 ft from the base of the bulding.Angle…

Q: An isosceles triangle has two congruent sides of length 14 inches. The remaining side has a length…

A:

Q: Find the measure of the central angle of an arc if its length is 14n and the radius is 18 m.

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Q: A 18 ft ladder is leaning against a building so that the angle between the side of the building and…

A:

Q: Suppose a certain baseball diamond is a square 60 feet on a side. The pitching rubber is located…

A:

Q: For safety, the angle of a wheelchair ramo makes with the horizontal should be no more than 3.5…

A: Consider the figure given below :

Q: Two guy wires from the top of a 35-ft tent pole are anchored to the ground below by two stakes so…

A:

Q: The sides of a triangle are 7 m, 9 m, and 11 m, respectively. Find the radius, in m, of the circle…

A:

Q: A kite is flying at a height of 65 m attached to a string. If the inclination of the string with the…

A:

Q: A kite is flying at a 28° angle on a 300 ft string. Assuming the string is straight,how high is the…

A:

Q: From the top of a spire of height 50 ft, the angles of depression of two cars on a straight road at…

A: Form the right triangle and use Trigonometric ratios.

Q: The cables attached to a TV relay tower are 100 m long. They meet level ground at an angle of 60.0°,…

A:

Angles in Circles

Angles within a circle are feasible to create with the help of different properties of the circle such as radii, tangents, and chords. The radius is the distance from the center of the circle to the circumference of the circle. A tangent is a line made perpendicular to the radius through its endpoint placed on the circle as well as the line drawn at right angles to a tangent across the point of contact when the circle passes through the center of the circle. The chord is a line segment with its endpoints on the circle. A secant line or secant is the infinite extension of the chord.

Arcs in Circles

A circular arc is the arc of a circle formed by two distinct points. It is a section or segment of the circumference of a circle. A straight line passing through the center connecting the two distinct ends of the arc is termed a semi-circular arc.