A man is lying on the beach, flying a kite. He holds the end of the kite string at ground level and estimates the angle of elevation of the kite to be 55°. If the string.is. 47.5 ft long, how high is the kite above the ground? (Round your answer to the nearest foot.) X ft

Q: An engineer designs a 80-foot cellular telephone tower. Find the angle of elevation to the top of…

A: Given data is : An engineer designs a 80-foot cellular telephone tower To find the angle of…

Q: .Determine the angle 0 in the design of the streetlight shown in the figure, where x = 1.9. (Round…

A: We use Cosine formula to calculate the angle θ.

Q: For the right triangle below, find the measure of the angle. Round to nearest hundredth. (2 decimal…

A: NOTE: Refresh your page if you can't see any equations. . here we have  BC=5 AC=8

Q: A boat is travelling due south at a speed of 53 miles per hour. If the boat started off 29 miles…

A: Let us suppose the distance of the boat towards south is y. Let the angle of the boat from the…

Q: Determine the angle 0 in the design of the streetlight shown in the figure, where x = 1.8. (Round…

A:

Q: Find the reference angle for 6. radians JT

A:

Q: In ΔABC, the measure of ∠C=90°, AC = 36, BA = 85, and CB = 77. What ratio represents the sine of ∠B?

A:

Q: Find the angle 0, in radians, in the given right triangle. The length of the side adjacent to 0 is…

A: Given, The triangle is right angled triangle, so formula of Tan theta can be used.

Q: the distance, in feet, from the base of the conveyor belt to the building

A: Given, A 15-foot conveyor belt for raising and lowering supplies is leaning against a building at a…

Q: Find the exact values of the sine, cosine, and tangent of the angle. -165°

A: To find the exact values of sine, cosine, and tangent of the angle -165°.

Q: Evaluate the sine, cosine, and tangent of each angle.                                      (a) 750°…

A: Concept: The trigonometric ratio is ratios, sine, cosine, tangent, cosecant, secant and cotangent.…

Q: Find x, the angle of depression from the top of a lighthouse that is 187 ft above water level to the…

A: Angle of depression is 9.6°

Q: Find the reference angle for 3 radians JT

A:

Q: An engineer designs a 90-foot cellular telephone tower. Find the angle of elevation to the top of…

A:

Q: Consider this right triangle. A 15 640 B In the box below, enter the length of AC , to the nearest…

A: Given  ∠B=64° Right angle triangled ABC  H=15

Q: Find the bearing of the ship. Round to the nearest tenth of a degree if necessary.

A: To determine the bearing of the ship.

Q: Find the values of sine, cosine and tangent for the following angles without using a calculator…

A: Given θ=19π12

Q: Find the acute angle measure, to the nearest degree. V. W 17

A:

Q: Serena is skiing around a circular trail that has a four kilometer radius. If she travels through an…

A: Distance travelled around path will be given by S=θ2π×2πRS=θR

Q: Find the measure of the central angle, e (in radians). 10

A: From the figure,   Given that the arc length = 10 unit   Radius = 5 units,

Q: The angle of elevation to a nearby tree from a point on the ground is measured to be 73°. How tall…

A: given: the angle of elevation to a nearby tree from a point on the ground is measured to be . we…

Q: A man standing near a building notices that the angle of elevation to the top of the building is…

A: Given : The angle of elevation to the top of the building is 69°. He then walks 240 feet farther…

Q: Use the sine law to determine the length of side a, to the nearest tenth of a cm, given that b =…

A: follow next step

Q: What is the length of the arc subtended by an angle of-T radians in a circle that has a radius of 14…

A: Arc length = r*theta

Q: Find the exact values of the sine, cosine, and tangent of the angle 345°

A:

Q: Convert the angle in degree to radian. Express the answer in the multiple of t . 260°

A:

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: A man standing near a building notices that the angle of elevation to the top of the building is…

A: Since, a man standing near a building notices that the angle of elevation to the top of the building…

Q: Use the sine law to determine the measure of angle C, to the nearest degree, given that b = 89.4 ft,…

A: Given:-  b= 89.4 ft, angle B = 72°, and c = 36.3 ft. To find:- Angle C

Q: From the top of a cliff that is 70 m in height, the angle of depression of a sailboat on a lake is…

A: Solution: The objective is to find the distance from the base of the cliff to the sailboat.

Q: Find the angle of elevation of the sun from the ground to the top of a tree when a tree that is 10…

A: We can use the trigonometrical ratio in order to solve the given problem.

Q: 6. Determine the measure of an angle in Quadrant 4 which would have the same sine value as 185°

A: The trigonometric function, sin(1850)=sin(1800+50)=-sin(50)                             As…

Q: The radius of a circle is 13.2 inches. Find the length of an arc of the circle intercepted by a…

A:

Q: 13 m a 11 m

A: We have to find angle a

Q: Find the radian measure of an angle of 280°. Leave your answer in terms of r.

A: Here we have ;  let θ=280∘

Q: Find the angle θ, in radians, in the given right triangle. The length of the side adjacent to θ is…

A: Given, the side adjacent to θ = 19 the length of the side opposite θ = 15

Q: A tree in Daniel's yard died and he's worried it might fall and hit the house if left alone. He…

A: SOLUTION-

Q: From the top of a 237-ft lighthouse, the angle of depression to a ship in the ocean is 25°. How far…

A:

Q: At an altitude of 3,500 ft, the engine on a small plane fails. What angle of depression is needed to…

A:

Q: Henrey is painting a house. He placed a 24 foot ladder 15 feet away from the base of the house so…

A:

Q: Find the angle θ, in radians, in the given right triangle. The length of the side adjacent to θ is…

A:

Q: Find the measure of the identified angle. Round your answer to the nearest tenth of a degree. x 21

A: Our Aim is to find the measure of the angle 'x' of the triangle given below:-

Q: In the figure, a person standing at point A notices that the angle of elevation to the top of the…

A: Consider the figure representing given scenario We have to find the distance x.

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: Find the angle θ, in radians, in the given right triangle. The length of the side adjacent to θ is…

A: Given: The length of the side adjacent to θ is 18 and the length of the side opposite θ is 11 in the…

Q: Use the sine law to determine the measure of angle C, to the nearest degree, given that b = 87.4 ft,…

A: Find angle c

Q: Find the angle of elevation x between the two steel beams in front and on top of the building. Round…

A: Her we find the angle x

Q: Determine the angle 0 in the design of the streetlight shown in the figure, where x = 2.3. (Round…

A: To find θ

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: Determine the value of angle A that corresponds to sec A = 1.3100. Round the answer to the nearest…

A: secA = 1.3100

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.