Two legs of a right triangle are 6 ft and 10 ft Determine the length of thehypotenuse and the angle opposite the short side.

Answered: wo legs of a right triangle are 6 ft…

wo legs of a right triangle are 6 ft and 10 ft Determine the length of the nypotenuse and the angle opposite the short side

Elementary Algebra

17th Edition

ISBN:9780998625713

Author:Lynn Marecek, MaryAnne Anthony-Smith

Publisher:Lynn Marecek, MaryAnne Anthony-Smith

Chapter3: Math Models

Section3.4: Solve Geometry Applications: Triangles, Rectangles, And The Pythagorean Theorem

Problem 3.80TI: Use the Pythagorean Theorem to find the length of the leg in the triangle shown below.

See similar textbooks

Related questions

Q: A temporary support for an architectural feature is positioned 2 feet away from a wall and forms…

A: Use height and distant concept

Q: The length of a rectangular field is 100 yards and the diagonal across the field forms an angle of…

Q: Two sides, a and b, of a right triangle AABC are equal in length. The hypotenuse, c, is across from…

Q: Tree Stake. A tree needs to be staked down prior to a storm. If the ropes can be tied on the tree…

A: Concept= Sin(x)=Perpendicular/hypotenuse

Q: A 15 m ladder is leaning against a building. The foot of the ladder is at an angle of 74° to the…

A: Topic = Triangle

Q: A triangle has sides a= 4 and b= 2 and angle C= 40 degrees. Find the length of side c.

A: Given , A triangle has sides a= 4 and b= 2 and angle C= 40 degrees. We have to find the length of…

Q: A theatre set builder's plans show a triangular set with two sides that measure 3 feet 6 inches and…

A: Given : let a, b , c be the measurement of the triangle, so a=3 feet 6 inches= 42 inches b= 4 feet…

Q: 13. A ramp is used to load suitcases on an airplane. If the cargo door is 7 feet from the ground and…

A: The cargo door is 7 ft from the ground and the angle made by the ramp is 25°. This can be…

Q: Solve for value of the two angles in the triangle and classify the triangle using the sides and…

Q: The sides of a triangle are: a = 5.5 m, b = 3.6 m, c = 3.0 m. Find %3D the angle opposite side c.…

A: The sides of a triangle are:a=5.5 m, b=3.6 m, c=3.0 m

Q: 20. A ramp forms the angles shown at the right. What are the values of a and b? a° 72°

A: The objective of the question is determine the angle of the given right angle triangle.

Q: A roof is in the shape of an isosceles triangle. The roof is 44 feet wide. Its sides have angle of…

A: An isosceles triangle is the triangle in which its two sides are equal.

Q: If you rotate a right triangle, what feature of the triangle changes? A) leg lengths B) angle…

A: The possible options for the changes when a right triangle is rotated are :

Q: The four sequential sides of a quadrilateral have lengths a = 5.7, b = 8.3, c = 10.2, and d = 11.6…

Q: FLAG A support wire is anchored 12 m. up from the base of a flagpole and the wire makes 15° angle…

Q: 10. You are on the deck of a ship that is 450 m above the water. You look down towards the ocean and…

A: We have to find distance between seal and ship. According to Bartleby guidelines ,We can solve…

Q: The legs of a right triangle measure, 9 and 12 respectively. Determine the length of the hypotenuse.…

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

A: Jake leaned a 12-foot ladder against his house. If the angle formed by the ladder andthe ground is…

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

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

Q: Kendra is building a frame for the construction of a new building. The frame is in the shape of a…

Q: Geometry A right triangle has a hypotenuse of length 8 inches.If one angle is 35°,find the length of…

A: Given, A right triangle has a hypotenuse of length 8 inches One angle is 35° Find the length…

Q: 14 ft 5 ft

Q: Finding Angles For the triangle shown, find (a) ZBCD and (b) ZDCA. C 28 30° B A D 20 20

A: Here we have to find the angle ∠BCD and ∠DCA in the given figure.

Q: Determine the remaining sides and anglesof the triangle ABC, where c the side opposite angle A. b is…

Q: 15. The top of a stairway is 10 ft. higher than the bottom. The angle of depression from the top of…

A: Topic:- Trigonometric ratios

Q: ) A 12-ft high flagpole is standing vertically at the edge of the roof of a building. The angle of…

A: Given distance from base =64 ft The angle of elevation= 78°50' Let the height of the building =h

Q: The area of a triangle is 70 square centimeters. Find the length of the side included in between the…

Q: A surfer is riding a 7 foot Wave. The angle of depressfon from the surfer to the shorellne Is 10.…

A: To determine the distance of the surfer from the shoreline.

Q: Solve angle A of an oblique triangle with vertices ABC, if a = 25, b = 16 and C = 94 degrees and 6…

Q: Which construction is below?

A: Given two figures with arc and two lines

Q: 5. Tony must find the distance from A to B on opposite sides of a lake. He locates point C that is…

A: Authoring guidelines:…

Q: A triangle has sides a= 6 and b= 5 and angle C= 60 degrees. Find the length of side c.

Q: swimming pool viewed from the side is a right triangle. it is 15 feet at its deep end with a angle…

A: Sin theta= perpendicular (p) / hypotenuse (h) tan theta =perpendicular (p)/base (b)

Q: The angle of depression from the top of a cruise ship to the top of a sailboat is 22°. Sitting above…

A: Angle between horizontal line and line of sight, when observer is seeing any object from height is…

Q: A park in a subdivision has a triangular shape. Two adjacent sides of the park are 533 feet and 525…

A: Given: Two adjacent sides of the park are b=533 feet and c=525 feet. The angle between the sides is…

Q: A kite is stuck in a tree and Joe is holding the string. The angle formed between the kite string…

A: This question is about application of trigonometry identities.

Q: Geometry The diagonals of a parallelogram are 26.8 meters and 39.4 meters. If theymeet at an angle…

A: Given: Diagonal 1=26.8 metersDiagonal 2=39.4 metersAngle between 1 and 2=134.5°

Q: A ladder leaning against a house makes an angle of 60° with the ground. The foot of the ladder is 7…

Q: Consider the right triangle. 36 Which triangle is similar to the right triangle by Angle-Angle…

Q: 30) A ramp is built to reach a doorway that is 9 feet off the ground. The ramp makes a 37° angle…

A: Please ask one question at a time. As you didn't write which question's answer you want, solved…

Q: 8. Two sides of a triangle measures 8 m and 12 m and the angle opposite the 8-m side is 30°. What is…

A: Above question is solved. Only one question is solved. Solving more than one question is against…

Q: Part of the Tower Bridge in London is a drawbridge. This part of the bridge is 76.0 m long. When…

Q: joe and sally are skating joe skates 8 feet and sally skates 5 feet. the angles between them are…

Q: Geometry The height of a right circular cone is 25.3 centimeters. If the diameter of the baseis 10.4…

A: The height of a right circular cone is 25.3 centimeters. If the diameter of the baseis 10.4…

Q: 12) A skateboarding ramp is 12 inches high and makes an angle of 17 degrees with the ground. How…

A: Draw a schematic diagram of given question.

Q: The side lengths of a triangle are 12, 16, and 20. Classify the triangle. acute obtuse O right

Q: From a height of 50 meters above sea level on a cliff, two ships are sighted due west. The angles of…

A: Use the trigonometric ratios and find the distance between two ships.

Q: One angle of an isosceles triangle is given: a) 54° b) 63° c) 64.8° What are the other two angles

A: We have to find angle

Q: 4. An extension ladder is leaning against a wall and is 9 feet from the base of the wall. The ladder…

Question

Two legs of a right triangle are 6 ft and 10 ft Determine the length of the
hypotenuse and the angle opposite the short side.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 1 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

The angle of elevation to the top of a flagpole at a distance of 19 feet from its base is 64.6. How tall is the flagpole?
The top surface of a picnic table is in the shape of a regular hexagon. What is the measure of the angle formed by two consecutive sides?
Draw an obtuse triangle and construct the three perpendicular bisectors of its sides. Do the perpendicular bisectors of the three sides appear to meet at a common point?
Explain how the figure below illustrates the Pythagorean Theorem for a triangle with legs of length 3 and 4
In a softball game, a batter hits a ball to dead center field, a distance of 240 feet from home plate. The center fielder then throws the ball to third base and gets a runner out. The distance between the bases is 60 feet. How far is the center fielder from third base?
One angle of a right triangle measures 45°. What is the measure of the other small angle?
Surveying A triangular parcel of land has 115 meters of frontage, and the other boundaries have lengths of 76 meters and 92 meters. What angles does the frontage make with the two other boundaries?
Use the Pythagorean Theorem to find the length of the leg in the triangle shown below.