A telephone pole casts a shadow 12 ft long when the sun's rays strike the ground at an angle of 78°. How tall is the pole? (2 decimal places)

Q: A 15 foot ladder is leaning against the side of a building. The angle of elevation between the…

A: Here we will find height of side of building where ladder can reach,

Q: Arc length The minute hand of a clock is 1 centimeter0 long. How far does the tip of the minute hand…

A:

Q: segment JK segment LM. Find the measure of arc JK. Round to the nearest degree

A: We know that , when two chords are congruent then their corresponding arcs are also congruent JK=…

Q: Solve the triangle using the Law of Sines. (Round side lengths to o decimal place.)

A:

Q: To measure a stone face carved on the side of a mountain, two sightings 900 feet from the base of…

A: Given that:                        Distance of observation point from mountain base: d=900 ftAngle…

Q: Find 0 (in radians) for an angle having an arc length of 23 and a radius of 15. 0 : [ ? radians

A:

Q: To measure a stone face carved on the side of a mountain, two sightings 650 feet from the base of…

A: In this question we have to find height of face of stone.

Q: A six-meter-long ladder leans against a building. If the ladder makes an angle of 60° with the…

A:

Q: A central angle of a circle with circumference 18π cm intercepts an arc of 8cm. What is the measure…

A:

Q: 18. A central angle 0 in a wheel of a bike measures 4 radians. If the diameter of its spoke is 40…

A: Given central angle θ in a wheel of bike=4 radians The diameter of spoke of wheel=40 cm We know that…

Q: A 85.3 foot rope from the top of a circus tent pole is anchored to the ground 50.2 feet from the…

A:

Q: Question An observer standing on top of a cliff sp adjacent valley at an angle of depression from…

A: We will find the distance between the house and the base of the cliff.

Q: A 15 ft tree casts a 5.3 ft long shadow. What is the angle formed by the sun's rays and the ground?…

A: This can be considered as a right angled triangle of height = 15 ft and base = 5.3 ft  Let sunrays…

Q: 25 ft. - 42 ft.-

A: height of flagpole = 25 ft  length of shadow = 42 ft

Q: A guy wire 1174 feet long is attached to the top of a tower. When pulled taut, it touches level…

A:

Q: A 50foot tall building has a shadow that is 5 feet long. What is the angle of elevation of the sun?…

A: Given, Height of building is 50 foot. Length of shadow is 5 feet. To find: Angle of elevation of the…

Q: 30 ft Wall 32 The diagram shows a ramp 30 ft long leaning against a wall at a construction site.…

A:

Q: Find the altitude of the isosceles triangle if theta= 54degrees and b=5feet. round answer to…

A: Let ABC be triangle and h be the altitude. Angle A=angle C

Q: A pendulum swings through an angle of 20° each second. If the pendulum is 40 inches long, how far…

A: Pendulum forms a circular arc.We know the formula - Angle subtended = ArcRadius…

Q: Which has the largest angular diameter in the sky-the Sun or Moon during an annular eclipse?

A: Solar eclipses occur during new moon day when moon is positioned between earth and sun.

Q: A tire is rotating 720 miles per min. Through how many degrees does a point on the edge of the tire…

A:

Q: pts 5. A person stands 25 feet from the base of a building and measures the angle of elevation to…

A: Height of the bulding is

Q: A 36-ft ladder leans against a building so that the angle between the ground and the ladder is 82°.…

A:

Q: Arc Length The minute hand of a clock is 4.5 centimeters long. How far does the tipof the minute…

A: We have, the minute hand of a watch is 4.5 cm long, thus r=4.5 cm. We know that, arc length l can be…

Q: A lighthouse operator sights a sailboat at an angle of depression of 16°. If the sailboat is 120 ft…

A: Given: Angle of depression is 16° Distance between the sailboat and the base of the light house is…

Q: 5. The pendulum of a clock makes an angle of 0.5 radians as its tip travels 18 inches. What is the…

A:

Q: standard

A: please refer to the image below

Q: 5. A 29 feet ladder leans against a building so that the angle between the ground and the ladder is…

A:

Q: A 45-foot wooden ladder leans against the wall of the castle so that the angle between the ground…

A:

Q: 5. The length of the shadow of a building 27.89 meters tall is 34.62 me- ters. Find the angle (in…

A:

Q: Find the area of the segment (shaded in blue in the figure) of a circle whose radius is 9 feet,…

A: We have to find area of shaded region. Area of shaded region = Area of sector - Area of triangle.

Q: A 34-ft ladder leans against a building so that the angle between the ground and the ladder is 85°.…

A:

Q: A guy wire 1273 feet long is attached to the top of a tower. When pulled taut, it touches level…

A:

Q: Measure of minor arc SH= _____?

A: This is a problem related to circle. Let us find the measure of the minor arc SH in the next steps.

Q: A 34-ft ladder leans against a building so that the angle between the ground and the ladder is 82…

A: Solve the following

Q: (i) the greatest angle of elevation of the top of the lighthouse from a point on the line AC,…

A: Trigonometric functions of an angle are equal to the ratios of the corresponding sides of the…

Q: To measure a stone face carved on the side of a mountain, two sightings 800 feet from the base of…

A: Given:- To measure a stone face carved on the side of a mountain, two sightings 800 feet from the…

Q: 3. The angle of elevation to the top of a very tall building is found to be 7° from the ground a…

A:

Q: A 15 meter pole is leaning against a wall. The foot of the pole is 4.3 meters from the wall. Find…

A: The given question is based on Some Applications of Trigonometry which leads to giving the inter…

Q: Find the length of the arc of a circle of diameter 1010 meters subtended by a central angle of π4π4…

A: Solution ) diameter - 1010 m , angle = π/4 Radius =  1010/2           = 505 m length of arc of…

Q: How long is an arc intercepted by the given central angle in a circle of radius 13.34 km ? 150…

A:

Q: Atunnel under a river is 197.3 ft below the surface at its lowest point, as shown in the drawing. If…

A:

Q: A 17-foot ladder leans against a building so that the angle between the ground and the ladder is 65…

A:

Q: A water sprinkler sprays water over a distance of 30 feet while rotating through an angle of 135…

A: Since, A water sprinkler sprays water over a distance of 30 feet while rotating through an angle of…

Q: A 14-foot ladder leans against a building so that the angle between the ground and the ladder is 67…

A:

Q: Find 0 (in radians) for an angle having an arc length of 23 and a radius of 15. 0 = ? radians

A:

Q: How many degrees is IT radians?

A:

Q: A tire is rotating 720 times per minute. Through how many degrees does a point on the edge of the…

A:

Q: A person stands on the top of a 165165 foot tall cliff looking at a boat out on the water. The angle…

A: A person stands on the top of a 165165-foot tall cliff looking at a boat out on the water. The angle…

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.