The hypotenuse of a right triangle is 12 inches. If one leg is 3 inches, find the degree measure of each angle. The angle opposite the 3 inch leg is (Do not round until the final answer. Then round to one decimal place as needed.)

Q: In the right triangle, find b to the nearest whole number is c = 15 and the angle adjacent to b is…

A: It is given that the side c of the right angled triangle is 15 and (θ) is 37o . Here, the given…

Q: As shown in the diagram below, a ladder 5 feet long leans against a wall and makes an angle of 65°…

A: A ladder 5 feet long leans against a wall and makes an angle 65° with the ground.we have to find…

Q: From a point on the ground 12 feet from the base of a flagpole, the angle of elevation to the top of…

A:

Q: If a 20-foot ladder makes a 65. angle with the ground, how many feet up a wall will it reach? Round…

A: We can easily found height of wall it will reach by ladder by using sine of angle .

Q: In a right triangle with a leg of 5 and a hypotenuse of 10, find the measures of all angles

A:

Q: If you stand 35 feet from the bottom of a movie screen and the screen is 75 feet tall, what is the…

A: If you stand 35 feet from the bottom of a movie screen. The screen is 75 feet tall its make a…

Q: From the top of a fire tower, a forest ranger sees his partner on the ground at an angle of…

A:

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

A:

Q: Determine the measure of each angle given below. 1. degrees 2. degrees

A: Find your answer below

Q: From the top of a cliff 280 meters high, the angle of depression of a boat is 25°. How far from the…

A: We  Have to determine from the base of the cliff is the boat?

Q: from the top of a 300-ft light house, the angle of depression to a ship in the ocean is 27degrees.…

A: Given the angle of depression to a ship in the ocean is 27degrees. Height of the light house=300ft A…

Q: Use the fact that the longest side of a triangle is across from the largest angle to explain why the…

A: Here we have to prove that the hypotenuse is always the longest side in the right triangle.

Q: A parallelogram had a aide length of 19 and a diagonal length of 11 if the angle between the two is…

A:

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

A:

Q: From the top of one of the gateposts in Manggahan High School, a bird saw a cat on the ground with…

A: We can make it easier for you

Q: Ashley decides to build an accessibility ramp to help students reach the top of a set of stairs. If…

A:

Q: The hypotenuse of a right triangle is 12 feet. If one leg is 8 feet,find the degree measure of each…

A: Let ∆ABC be a right triangle. such that ∠B=90° To find: Measure of all angles.

Q: An escalator at a shopping center is 200 ft 9 in. (2409 in.) long, and rises at an angle of 15°.…

A: We have to find

Q: A bike is 80 long and has an end height of a 3 feet, as shown below. what is the measure of angle…

A:

Q: Find the length of side aa if the length of side b=12 units, the length of side c=9 units, and the…

A:

Q: What is the angle of Angle A in a right triangle whose hypotenuse is 23cm and opposite side is 12cm?

A: Please see the diagram on the white board. It aptly explains the question. ABC is the triangle right…

Q: Find the measure of the indicated angle to the nearest degree. For number 12 and 13

A: We have the given triangle as  12)    AND 13)

Q: If the width of the frame is 3 feet, and the height is 8 feet, how long must the diagonal cross…

A: The diagonal cross section is:-

Q: A radio transmission tower is 205 feet high. How long should a guy wire be if it is to be attached…

A: A radio transmission tower is 205 feet high . We find how long should a guy wire be if it is to be…

Q: The bottom of a doorway to a building is 3.45 feet above the ground, and a ramp to the door for the…

A: Given that, Height of the door way from the ground is 3.45 ft. and the ramp to the door is at an…

Q: You are putting together the frame of a fence gate as shown below: If the width of the frame is 3…

A: We know in a right angle triangle the formula of Pythagoras theorem is,…

Q: From the top of a 213-ft lighthouse, the angle of depression to a shop in the ocean is 17°.  How far…

A:

Q: Find the lengths of all sides (approximate to the nearest hundredth when necessary) and the measures…

A: Given,

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: Find the measure of the unknown angle in degrees.

A: Given,

Q: An angle with a measure of-215° would have a terminal side in what quadrant?

A: An angle with a measure of  -215 degree would have a terminal side  in

Q: Find the smallest angle in the right triangle with a hypotenuse of length 175 and a leg of length…

A:

Q: What is the measure of each angle of a regular decagon? If necessary, round to the nearest tenth.

A:

Q: From the top of a fire tower, a forest ranger sees his partner on the ground at an angle of…

A: We know that the trigonometric ratio of tangent is  tan(x) = perpendicular / adjacent  tan(x) =…

Q: A radio transmission tower is 160 feet tall. How long should a guy wire be if it is to be attached…

A: We can make it easier for you.

Q: In ASTU, the measure of ZU=90°, US = 7.4 feet, and ST = 9.4 feet. Find the measure of ZT to the…

A: Given,           In △STU, the measure of ∠U=90°, US=7.4 feet, and ST=9.4 feet.

Q: A radio transmission tower is 180 feet high. How long should a guy wire be if it is to be attached…

A:

Q: The windshield wiper blade on Julia's car is 21 inches long. Each swipe of the wiper makes an angle…

A: θ=lr Where l is length of arc and r is radius.

Q: In the right triangle below, find a to the nearest whole number if c = 15 and angle 0 is 37 degrees.

A: We use Trigonometry ratios

Q: A radio tower is located 425 feet from a building. From a window in the building, a person…

A: Given that, a radio tower is located 425 feet from a building and the angle of elevation to the top…

Q: The two equal sides of an isosceles triangle are each 24 centime-ters. If each of the two equal…

A: Consider the diagram of isosceles triangle ABC as per the given information, since the sum of the…

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: The three sides of a triangle measure 15 cm, 17 cm, and 18 cm. Find the measure of the largest…

A:

Q: From the top of a 200-ft lighthouse, the angle of depression to a ship in the ocean is 23degree. How…

A:

Q: Suppose a 50-inch ramp is used to move heavy objects up a 23-inch step, what is the measure of the…

A:

Q: Given a right triangle where the opposite side is 2 and the hypotenuse is 5, find the angle of…

A:

Q: A 16 foot ladder leaning against a wall of a house makes a 50° angle with the ground. How far up the…

A:

Q: 2.

A: We can easily calculate the unknown angle by using basic trigonometric fuctions. Let unknown angle…

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

A:

Q: When the angle of elevation of the sun is 39.6∘, the length of the shadow of a utility pole is…

A: Given, angle of elevation of the sun is 39.6∘, and the length of the shadow of an utility pole is…

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.