A 72.1-foot rope from the top of a circus tent pole is anchored to the ground 43.6 feet from the bottom of the pole. What angle does the rope make with the pole? (Assume the pole is perpendicular to the ground. Round your answer to one decimal place.)

Q: A right triangle has a base of 4, a hypotenuse of 12, the height is not given. What is the measure…

A: we apply the sine rule to find unknown angle

Q: Please provide detailed solution easily understandable.

A: From the figure, it is observed that the ground as an adjacent side having 18 inches and guy wire…

Q: A lawn sprinkler has been set to rotate through an angle of 150° and project water out to 13 feet.…

A: Given that the sprinkler project water out to 13 feet. So radius= r= 13 feet Central angle=θ=150°

Q: If the angle of elevation of the sun is 74° 30', how tall is a post that casts a shadow 1.6 feet…

A: This question is based on the concept of right angle triangle and trigonometric ratios.

Q: Find the measurement of the angle indicated for each trapezoid. 1) M 120°

A: The solution is :

Q: In Potsdam in 1988, Petra Felke of (then) East Germanyset a women’s world record by throwing a…

A: Given  The range of the javelin , x =262 ft +5 inch =262.42 ft The angle of launch =40 degree from…

Q: A 10-ft pendulum swings through an angle of 46°18. What is the length of the arc that the tip of the…

A:

Q: The minute hand of a clock, has length 15cm. How long out an angle of 105°? How far does it travel…

A: Use the property of circle and clock

Q: 3.5

A:

Q: Consider a clock with an hour hand and minute hand. What is the measure of the angle the minute hand…

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: A right triangle has a base of 7, a hypotenuse of 11, the height is not given. What is the measure…

A:

Q: what is the appropriate length of the arc formed by a 90 degree angle on a circle that had a radius…

A: To find the length of the arc

Q: 3.) A window washer needs to reach a second story window whose sill is 18 feet high. He places a…

A:

Q: If the angle of elevation of the sun is 73° 30', how tall is a post that casts a shadow 1.9 feet…

A: Given : The angle of elevation of the sun is 73°30', and shadow 1.9 feet long.    θ = 73°30' = 73° +…

Q: The angle formed by moving one-eighth of the way around a circle has a measure of how many degrees?

A: The rotation is one-eighth of the way around a circle.

Q: 13. 24 ft 12 ft

A:

Q: If a 22.5 meter building casts a 34-meter shadow, what is the angle of elevation of the sun? Round…

A:

Q: The angle at the vertex of a cone is measured using a 30mm diameter coin as shown in the figure…

A:

Q: The terminal side of 0, an angle in standard position, intersects the unit circle at v8 P(-$.}).…

A:

Q: A surveyor uses the triangles shown in the diagram to measure the distance

A: It is given that,  Here we have to find the distance across the pond.

Q: If the angle of elevation of the sun is 70° 30', how tall is a post that casts a shadow 1.4 feet…

A:

Q: Find the acute angle measure, to the nearest degree. V 14

A: We use Trigonometry ratios

Q: Find the angle of view θ of the camera​ lens, given the measurements shown in the figure below. θ=…

A: This question is related to trigonometric ratios,  we will solve it using given information.

Q: A forest fire was spotted from Lookout point 1 and Lookout point 2. What is the angle measurement…

A: Given,           A forest was spotted from Lookout pint 1 and Lookout point 2.

Q: What’s the length of an arc intercepted by a central angle of 46o with a radius of 31.4cm?

A: The given angle is θ=46° and radius is r=31.4 cm.   Formula used: Arc length=2πrθ360

Q: 1. From a point on the ground 12 ft from the base of a flagpole, the angle of elevation of the top…

A: "Since you have posted multiple questions we will solve the first question for you. If you want any…

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: 9 mi 7 mi N 65 mi

A: The given sides of the triangle are: 7mi, 9mi, 65mi The biggest side is: 9 And, the other two sides…

Q: Find an angle a that is coterminal with an angle measuring 550°, where 0°sa< 360°.

A: We have to find the angle α that is coterminal with an angle measuring 550°, where 0°≤α&lt;360°.

Q: The horizontal distance on a survev map from the top edge of a riverbank to the river is 85 feet…

A:

Q: Find the missing angles. 35 m/1 =

A: The given figure is a kite.  We know that the diagonals of a kite intersect at 90 degrees.  That…

Q: A 10-foot rope connects the top of a tent pole to the ground. Ifthe rope makes an angle of 458 with…

A: Given:  Rope that connects the top of tent pole and ground= 10 foot…

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: What is the measure of the missing angle? Round the answer to the nearest whole number.

A: In algebra, an equation can be defined as a mathematical statement consisting of an equal symbol…

Q: In building a garage onto his house, Gene wants to use a sloped 12-ft roof to cover an expanse that…

A:

Q: Express the angle as a decimal, to the nearest ten-thousandth of a degree.

A: given,          an angle  115026'27''

Q: The.height.of.a.right.circular cone is 23.7 centimeters. If the diameter of the base is 10.6…

A: Here, we need to find the angle made by the side of the cone with the base.

Q: The dorsal fin of a shark forms an obtuse triangle with the measurements shown in the diagram. Round…

A:

Q: Find the missing angle measure. (Hint: set it up equal to a supplementary ngle.. 180 degrees) 108°

A:

Q: A 15 ft ladder leans against building so that the angle betweem the ground and the ladder is 70°.…

A: Given problem is a model of right triangle. Here, theta= 70° Hypotenuse=height of ladder= 15 ft…

Q: A ship receives sonar reflections at an angle of depression of 31° from a submarine 27 km above the…

A: Trigonometry is the study of the relationship between the sides and angles of a right-angled…

Q: A patio lounge chair can be reclined at various angles, one of which is illustrated below. 19 in…

A:

Q: Find the measure of the indicated angle to the nearest degree. 49 52 O 70° O 43° O 20° O 17°

A:

Q: 10. The angle of elevation from the ground to the top of a sky scraper 965 feet tall is 59° as…

A:

Q: The measure of angle e is (ROUND TO 2 DECIMAL PLACES) 19

A: The answer is stated below

Q: The base of the ladder in the figure is a = 12ft from the building, and the angle formed by the…

A: Let h be the height of the building where the ladder touches the building. Given:  To find: We have…

Q: Find the measure of angle A in degrees. Round your answer to 1 decimal place, if necessary. 213

A:

Q: Assuming that a 320-foot tall giant redwood grows vertically, if I walk a certain distance from the…

A: The height of the redwood is 320-foot. The angle of elevation made on the top of tree is 55°

Q: 12. 10.5 ft 8.0 ft

A: We can calculate this by finding third side by Pythagoras theorem and then calculate angle in degree…

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.