Two gears are adjusted so that the smaller gear drives the larger one, as shown in the figure. If the smaller gear rotates through an angle of 300°, through how many degrees will the larger gear rotate? 3.7 cm 7.3 cm The larger gear rotates through approximately. (Do not round until the final answer. Then round to the nearest integer as needed.)

Q: Suppose there is a triangle with sides a, b, and c and angles A, B, and C. Using the known given…

A: Use the law of Cosine in a triangle an put the given values to solve for B.

Q: In AABC, 2C is a right angle, AC = 5.2, and AB = 21.3. Draw the triangle and solve for the measure…

A: Given AB=21.3 AC=5.2 C is right a right angle

Q: Shown below is the regular 10-sided figure from above along with a related isosceles triangle.…

A:

Q: 1. Find the unknown side in the following right angle triangle. 7 m 10 m John is standing 100 m away…

A: 1. Consider

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

A:

Q: the diagram of triangle ABD below, EB||DC = 10 and BC= 25 what is the length of AD?

A:

Q: right triangle ABC, a = 2.73 cm and b = 3.41 cm. Find the remaining sides and angles. Round each…

A: Given query is to solve the right angle triangle.

Q: Suppose there is a triangle with sides a, b, and c and angles A, B, and C. Using the known given…

A:

Q: In ALMN, the measure of ZN=90°, MN = 5.6 feet, and NL = 1.7 feet. Find the %3D %3D measure of ZM to…

A: Given, Triangle LMN Angle N=90° MN=5.6 feet NL=1.7 feet To find, Angle M= x°

Q: Calculate the height corresponding to side AC in the following figure, if it is known that BC = 30,…

A:

Q: Solve each triangle. Round answers to the nearest tenth. O mLA=33.4°, a=5.6, c=10.6 O mLA=32°,…

A: We have given right angled triangle

Q: A 50° 25 cm 28° C 2.

A: The Sine rule: asinA=bsinB=csinC   Given: ∠A=50°, ∠B=28°, AB=25 cm

Q: Suppose a 15-foot ladder leans against the side of a house so that the angle of elevation of the…

A: Given, Length of the ladder = 15 foot   Angle of elevation of the ladder = 38°   We have to find the…

Q: = 12  ft from the building, and the angle formed by the ladder and the ground is 80°. How high up…

A:

Q: If you roll a 1-m-diameter wheel forward 30 cm over level ground, through what angle will the wheel…

A: Given ,  L = 30 cm = 0.3 m  r = d/2 = 1/2 =0.5 m  L = rθ

Q: Find the measures of the missing sides and angles in this right triangle: (Calculate lengths to the…

A: From right angle triangle MNP…

Q: Suppose there is a triangle with sides a, b, and c and angles A, B, and C. Using the known given…

A: Given:       a=29 cm       c=24 cm       B=101° Law of Cosines:      b2=a2+c2-2ac·cosB…

Q: Given a right triangle ABC where angle C =90°, side a = 27.6 units, and angle A = 41026'. How long…

A:

Q: Find the missing side of each triangle. Round your answers to the nearest tenth if necessary. 72 in…

A: given  base = 65 in perpendicular = 72 in

Q: Given the triangle 16 , find the length of side z. Round your final answer to 3 decimal 57 places.

A: here two sides AB and BC are equal  so here we have a=16 and c=16 therefore angles A=C

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

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: In right triangle ABC, m2 BÁC = 90, AB=5, and BC = 8. What is mZABC? Round your answer to the…

A: given that m∠BAC=90°, AB=5 and BC=8find m∠ABCby using pythagorean theorem we can find m∠ABC

Q: Given a right triangle ABC where angle C = 90°, side a = 43.5 units, and angle B = 47041. How long…

A: We need to find the length of side b.

Q: In ARST, the measure of ZT=90°, TR = 1.8 feet, and RS = 8.7 feet. Find the measure of ZS to the…

A:

Q: If you roll a 1-m-diameter wheel forward 30 cm over level ground, through what angle will the wheel…

A: Given,1-meter diameter wheel is rolling forward, 30 cm over level ground.To find an angle for which…

Q: Find all the unknown angles, to the nearest degree, and all the unknown sides, to the nearest tenth…

A:

Q: 4) In triangle ABC, angle B= 118 degrees, angle c=42 degrees, c=5 in. Find a to the nearest tenth.

A: Given

Q: Given the figure below, which of the following is the correct name for the special segment? %23 %23…

A: In the given triangle, C divides the line segment XY equally Also, D divides the line segment YZ…

Q: One angle of a rhombus measures 104°, and the shorter diagonal is 8 inches long. How long is the…

A: Given problem:- One angle of a rhombus measures 104°, and the shorter diagonal is 8 inches long. How…

Q: In the following figure, BA CA, and D is on BC. A B D Calculate the length of segment DC if BC is 12…

A:

Q: A memorial is V-shaped with equal sides of length 243.25 ft. The angle between these sides measures…

A:

Q: In AABC, determine LA to the nearest degree if a =55 cm, b = 26 cm, and c= 32 cm.

A:

Q: In AMNO, the measure of ZO=90°, MN = 99 feet, and OM = 26 feet. Find the measure of ZM to the…

A:

Q: 1. As shown below, find the radius of the pulley if a rotation of 51.6° raises the weight by 11.4…

A:

Q: In right triangle ABC, point O is the incenter, CD= 9" AC = 36", AB = 45 Find OD. 36 8.

A: Apply Pythagorean theorem, to find CB. CB=AB2-AC2=452-362=2025-1296=729=27 Therefore, CB=27''.

Q: 1. A 5.5 ft tall man casts a 2 ft shadow. If the tree he is standing next to casts à 45 ft shadow,…

A:

Q: Use Trigonometry to solve for the missing side of the right triangle. Round to the second decimal…

A:

Q: If a 50 foot cable supporting a circus tent is staked into the ground at an angle of elevation of…

A: Explanation of the answer is as follows

Q: 17. Find the lengths of the two legs of a right triangle with an acute angle of 46°, and a…

A: Solution

Q: 11. A wire makes a 70° angle with the ground and is attached to the top of a 50 ft antenna. How long…

A: Given, Angle made with ground (θ)= 70° Height of the antenna =opposite side to the angle= 50 ft…

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: In AMNO, the measure of ZO=90°, NO = 1.8 feet, and OM = 3.6 feet. Find the measure of ZM to the…

A: We have to find angle M

Q: A circle is inscribed in a triangle ABC and it touches the side AC at P. If AB= 14, AC= 10 and AP=…

A:

Q: A triangle has sides measuring  a = 8cm, c = 5cm , if the angle opposite side a is 72⁰. Find the…

A:

Q: Each face on Mount Rushmore is about 60 feet high if look up at an angle of 5° to the top of one of…

A:

Q: The base of the ladder in the figure is a = 5 ft from the building, and the angle formed by the…

A: Topic :- trigonometry and triangle

Q: In right triangle ABC, m/ABC = 90°, the hypotenuse has length 12, and AB= 3. What is the measure of…

A:

Q: Find the measure of the indicated angle to the nearest degree. 89 80 39 O 26° O None of the other…

A: If the three sides of a triangle are given, any three internal angle of the triangle can be found…

Q: Find the missing angle for each of the following isosceles triangles: 44 65° Angle A measures (Enter…

A: angles opposite to equal sides of a triangle are equal and this type triangle are called Isosceles…

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.