The peak of Mt. Fuji is approximately 12400 feet high. A student several miles away notes that the angle beween the ground and the peak is 30◦ . Estimate the distance from the student to the base of the mountain

Q: What is the difference in area covered by a single 12-inch windshield wiper operating with a central…

A: Given,Part (a): 12-inch windshield and central angle formed by windshield is 126 degree.Part (b): A…

Q: The angle of elevation from the top of a 95 foot tall bullding to a hot air balloon in the sky is…

A: In triangle ABC , let . It is known that , in the triangle .

Q: If a triangular parcel of land has sides of lengths 541 feet, 429 feet and 395 feet. What is the…

A: Given:

Q: A 103-foot wire is used to support a utility tower. It runs from the tower to ground and forms a 24…

A: We have  the utility tower with unknown height, the wire makes an angle 24∘ with ground runs to the…

Q: The angle of elevation from Mindy to a cell phone tower is 75°. If Mindy is standing 28 feet from…

A: M → Mindy         TD → Tower ,          ∠ TMD  = 75°  ,       MD = 28 ft .

Q: Estimate the number of degrees in the angle

A: The smaller angle looks like 60 degree  So the bigger angle is (360-60)= 300 degree

Q: What is the measure of the angle complementary to 12 degrees

A:

Q: A right triangle contains 38° angle whose adjacent side measures 10 centimeters. What is the length…

A: We can solve it by property of right angle triangle.

Q: A 2525-ft ladder leans against a building so that the angle between the ground and the ladder is…

A: Length of the ladder = 25ftangel between ground and the ladder = 78°

Q: A boy stands 12 metres from the foot of the building and observes the angle of elevation of the top…

A: Answer (59): Consider, the distance from the head of the boy to the top of the building is x m.…

Q: A 16 foot ladder is placed so that it makes an 80° angle with the ground. How far up the wall does…

A: Ladder is 15.8 foot high up the wall .

Q: What is the value of missing angle “?”

A: To find: ∠G

Q: Estimate the number of degrees in the angle.

A: The angle is little more than the straight angle. The measure of straight angle is 180°

Q: A 200-foot weather tower used to measure wind speed has a guy wire attached to it 175 feet above the…

A:

Q: What is the distance between the bank and hiroto's house on the map?

A:

Q: A 150-foot weather tower used to measure wind speed has a guy wire attached to it 125 feet above the…

A: Let the length of guy wire be and feet.

Q: Explain why the central angle and the circumscribed angle are supplements.

A: A circumscribed angle is the angle made by two intersecting tangent lines to a circle. Now we can…

Q: The east side slope of a hill has a slant height of 187.8 meters. If the angle of inclination of…

A:

Q: If you stood 52 feet from the base of the object what would be the angle of elevation from eye…

A:

Q: A right triangle has a hypotenuse of length 9 inches. If one angle is 35°, find the length of each…

A: Given :      A right triangle has a hypotenuse of length 9 inches. and one angle is 35 degree.

Q: At 10 AM on April 26,2009,a building 300 feet high casts a shadow 50 feet long.What was the angle of…

A: Given-  A building 300 feet high casts a shadow 50 feet long. To Find- The angle of the elevation of…

Q: The angle of elevation for the first hill of roller coaster is 55 degrees. If the length of the…

A: Please see the answer in Step 2

Q: when the sun is at a certain angle in the sky, a 20-foot flagpole will cast a 16 foot shadow. How…

A:

Q: A triangular lot bounded by 3 streets has a frontage of 300 feet on one street, 250 feet on the…

A:

Q: Find an angle that is coterminal with a standard position angle measuring -210 that is between -720…

A: Introduction   we Know that all the coterminal angles of the angle θ is   θ+ 360° n where n is any…

Q: If you stood 52 feet from the base of the object what would be the angle of elevation from 5.67…

A: Given question:- If you stood 52 feet from the base of the object what would be the angle of…

Q: Explain how you could construct a 30° angle.

A: Step 1: Draw a line AB. Step 2: Take any radius and center 'A', draw an arc that intersect our line…

Q: Find an angle that is coterminal with a standard position angle measuring -210° that is between…

A: The given angle is  = - 210°

Q: A right triangle has one angle that measures 30°. What is the measure of the other acute angle?

A: Sum of all angle of a triangle = 180° Suppose triangle ABC,  One angle in right triangle = 90°…

Q: A person noted that the angle of elevation to the top of a tree was 65° at a distance of 11 feet…

A:

Q: a right triangle has one angle that measures 37 degrees. what is the measurement of the other angle?

A: Given a right triangle has one angle that measures 37° Since, given triangle is right triangle…

Q: The top of a 250 foot vertical tower is to be anchored by cables that make an angle with a measure…

A:

Q: From a point on level ground 80 feet from the base of the Eiffel Tower, the angle of elevation is…

A: Let C be the base of the Eiffel tower and A is the point on ground which is 80 feet away from the…

Q: . A 200-ft building casts a horizontal shadow of 120 ft. long. What is the angle of elevation of the…

A: Given, Height of the building = 200 ft  Length of the horizontal shadow = 120 ft  We have to find…

Q: While sightseeing in Seattle, you visit the Space Needle.  From a point 175 feet from the structure,…

A:

Q: The radius of the earth is approximately 3959 miles long. If the angle from the center of the earth…

A: Given data is : Radius is 3959 miles Angle θ=2∘=2180π radian  To find the distance between two…

Q: modern archeologists have measured a 35° angle. Find the complement of this angle.

A: We have to compliment of the angle 350

Q: а. What is the smallest positive angle which is co-terminal to –1125°? b. What is the height of an…

A: As per guidelines we can solve only one question at a time. if you need more answers kindly repost…

Q: A civic group plans to landscape a lot that is located where a road forks and forms an angle of 62°.…

A: To find out the area of the triangle formed by the given details.

Q: Find the quadrant where the angle -260', drawn in standard position, terminates.

A: We need to find the quadrant where the angle -260° draw in standard position.

Q: According to the Chinese legend from the Han Dynasty, General Han Xin flew a kite over the palace of…

A: Given ,  According to the Chinese legend from the Han Dynasty, General Han Xin flew a kite over the…

Q: 90-foot tall building has a shadow that is 2 feet long. What is the angle of elevation of the sun?

A: We have to find the angle of elevation

Q: A tower that is 155 feet tall casts a shadow 163 feet long. Foind the angle of elevation of the sun…

A:

Q: While sightseeing in Seattle, you visit the Space Needle. From a point 178 feet from the structure,…

A: From a point 178 feet from the structure,  the angle of elevation of the top of the structure is…

Q: What is the measurement of this angle?

A: To Calculate: Measurement of given angle.

Q: What is the measurement of an angle (in degrees) that is complementary to an angle that measures 27…

A:

Q: A surveyor measures the lengths of a triangular plot of land as 420 feet, 350 feet and 180 feet.…

A: We sketch the triangle roughly  We have to find C

Q: The angle of depression from a window to a rock to the ground is 67.8 degrees. What is the angle of…

A:

Q: what is a triangle with an angle measuring 104°?

A: To name: The triangle that an angle measuring 104°. Concept used: Obtuse angle triangle: The…

Q: A right triangle has a hypotenuse of length 8 inches. If one angle is 34°, find the length of each…

A: sin θ=oppositehypotenusecos θ=adjacenthypotenuse Here, θ=34°, hypotenuse=8 inches

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.