2) A spotlight beam sweeps through a horizontal angle of 75.0°. If the range of the spotlight is 250 ft, what area can it cover?

Q: The radius of circle B is 10 mm and the central angle of ABC is 75°. what is the area of the…

A: Given: Given: r = 10 mm θ = 75o

Q: If the radius of a circle is doubled and the central angle of a sector is unchanged, how is the area…

A: To find change in area if the radius of a circle is doubled and the central angle of a sector is…

Q: Can you find the measurements of each lettered angle and give a conjecture that supports your answer…

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: A bridge across a river makes an angle of 450 with the river bank as shown in fig 12.8 if the length…

A:

Q: A 20-ft-tall light post casts a 25-ft shadow along level ground. What is the angle of elevation of…

A: A 20-ft-tall light post casts a 25-ft shadow along level ground.

Q: A sector has an area of 18 square centimeters and is defined by a circle with a radius of 4 cm,…

A: Given :  A sector has an area of 18 square centimeters. Radius of 4 cm.   To determine the…

Q: A railroad track has an angle of elevation of 1.0°. What is the difference in height (in feet) of…

A:

Q: a right triangle has leg opposike to angle e of length 9 and its leg adiacent to angle 0 is length…

A: Find your answer below

Q: - How far from the wall of a building is the base of a 33 ft. ladder which makes an angle of 70"…

A: Here, hypotenuse = 33ft  Angle = 70°  We have to find the base .

Q: What is the length of an arc intercepted by a central angle of with a radius of 56cm?

A: Arc length is given by Arc length=2πrθ3600

Q: A 5-meter-long ladder, learning against a vertical wall makes an angle of 65 degree ground. How…

A: Given, Ladder length=5 meters leaning against a vertical wall makes an angle of 65 degrees on the…

Q: 1. When the angle of elevation of the sun is 46°, the building casts a horizontal shadow of 60m. How…

A: Note: We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: Find the area of a triangle with sides of length 11 and 28 and included angle 5°. (Round to the…

A:

Q: 9) The angle of elevation from ground level to the top of a building is 50°. If the observer is…

A:

Q: Given a circular arc with the length of 3 km. subtends a central angle of 20 degrees. What is the…

A:

Q: If you place a 18 ft. Ladder 3 ft. From the base of the wall, what is the angle measure of the…

A: The cosine of an acute angle (A) in a right angles triangle is given by:   cos(A)=Side adjacent to…

Q: A car is travelling around a circular road whose diameter is 20 m. If the distance traveled by the…

A:

Q: 4. A 14.75 inch long windshield wiper swipes upward on an arc at an angle of 132°. How far across…

A:

Q: 2. The base of an isosceles triangle is 8 feet long. If the altitude is 6 ft long and is increasing…

A: According to the given information the figure is,   AB = 8 feet AD = 4 feet CD = x

Q: 5. A parked car is spotted from a hotel window which is 100 m above the car. If the angle of…

A:

Q: Find the area of a triangle with sides of length 10 and 24 and included angle 5°. (Round to the…

A:

Q: For an angle e, tan(0) is a negative number. Which quadrants might 0 be in?

A: Given, Tan θ is negative for some θ

Q: Find the area of a parallelogram that has pairs of sides of lengths 3 and 12, with an angle of π/3…

A:

Q: if a ship deviate from course by 10 degree sand 15 miles travel? How many miles will away from route…

A:

Q: 1. How long is the ladder which makes an angle of 300 with the side of the house and whose foot is…

A:

Q: Two wires stretch from the top T of a vertical pole to points B and C on the ground, where C is 10 m…

A: Two wires stretch from the top T of a vertical pole to points B and C on the ground, where C is 10…

Q: Find the area of a triangle having two sides of lengths 8 meters and 12 meters and an included angle…

A: Triangle: Length of two sides of a triangle are 8m and 12m. The included angle is 1350 Let a=12m…

Q: What is the measure of the angle (with the ground) formed by a 17 ft ladder leaned against the top…

A: Find the angle of ladder formed with ground .

Q: 23. A car is traveling around a circular road whose diameter is 10 m. If the distance traveled by…

A: Given a car is travelling around a circular road whose diameter is 10 m. Distance travelled by the…

Q: The base of an isosceles triangle is 8 feet long. If the altitude is 6 ft long and is increasing 3…

A: Let ABC be an isosceles triangle where x = Base angle, y = Altitude. Given: BC = 8 ft , y=6 and dydt…

Q: If the distance to the sun is approximately 93 million miles, and, from the earth, the sun subtends…

A: It is given that, distance between earth and sun is 93 million miles and from the earth the moon is…

Q: Find the area of a triangle that has sides of length 4 and 5, with an angle of 41° between those…

A: Directly use the formula for the area of triangle when two sides and angle between them is given.

Q: 3. A city engineer plans to build a footbridge across a lake from point X to point Y. She measures…

A:

Q: The recommended safety angle of a ladder against a building is 78 degree. If a 10meter ladder will…

A: Let the safety height of ladder reach to building is x safety angle of ladder is 78° length of…

Q: A building casts a shadow 20m long. If the angle from the tip of the shadow to a point on top of the…

A:

Q: The area of circle P equals 12 square units and area of sector APD equals 4 square units. Based on…

A: We have been given that the area of a circle with a radius r is 12 square units and the area of a…

Q: d) If a 6 foot tall ladder is leaning against a wall forming a 40 degree angle with the ground. How…

A: We are given with the word problem

Q: Next Find the area of a triangle with sides of length 15 and 21 and included angle 43°. (Round to…

A:

Q: An isosceles triangle has two congruent sides of length 14 inches. The remaining side has a length…

A:

Q: Find the length of the intercepted arc if the area of a sector of a circle formed by a central angle…

A: The arc length is equal to the product of radius and central angle in radians.  Let arc length be L,…

Q: A tower is supported by two guy wires, 162 ft and 181 ft long. Each wire is attached to the top of…

A: using sinθ , cosθ , tanθ

Q: . If the angle of elevation of the sun is 63.4 when a building casts a shadow of 37.5 ft., what is…

A: NOTE: Refresh your page if you can't see any equations. . here we have AB=x feet (height of the…

Q: 1. A 20-foot ladder leans against a wall so tha the base of the ladder is 8 feet from the base of…

A: Given :- Length of ladder=20 ftBase of ladder is 8 ft from the base of building .We have to find…

Q: A 12-ft ladder leaning against a house makes a 64° angle with the ground. Will the ladder reach a…

A: Check the ladder reach window sill 10.5 ft up from the base of house.

Q: The recommended safety angle of a ladder against a building is 75 degrees. A 10 m ladder will be…

A: Figure

Q: What is the angle measure of ADH?

A:

Q: 16. The minute hand of a clock has length 15 cm. How long will it sweep out an angle of 105°? How…

A: The minutes hand of a clock has length 15 cm The given angle is 105 degree We know that in a clock…

Q: Find the area of a sector of a circle of radius 10, subtended by an angle of 1.5 rad? What if the…

A: Given- Circle of radius=10 cm, angle= 1.5 rad and angle=1.5°. To find- The area of the sector of the…

Q: 5.] If Gaara is 167.64 cm tall cast a shadow of 160.02 cm at 10 a.m., what is the angle of elevation…

A: