Veronica is standing 14 feet away from a tree. If the angle of depression from the top of the tree to the ground is 41°, approximately how tall is the tree? a. 10.6 ft b. 12.2 ft С. 9.2 ft d. 16.1 ft

Q: Dale looks up to see his friend Lisa waving from her apartment window 30 ft from him. If Dale is…

A: Given that: Dale looks up to see his friend Lisa waving from her apartment windows 30 feet from him…

Q: A ship traveling a straight course sights a lighthouse at an angle of A=16.5 deg as shown in Fig.…

A:

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: A person 100 meters from the base of a tree, observes that the angle between the ground and the top…

A: Given : A person is 100 meters from the base of a tree observes that the angle between the ground…

Q: Brandon sights a helicopter above a building that is 200 feet away at an angle of elevation of 30°.…

A: Given  Brandon sights a helicopter above a building and  building is 200 feet away at an angle of…

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

A:

Q: An 85 ft. tree casts a shadow that is 147 ft. long. What is the angle of elevation of the sun? O 30°…

A: Topic:- geometry and trigonometry

Q: 17 m 12 m

A: This form a right triangle so use the trigonometric ratio of tangent to find the unknown.

Q: A lawn sprinkler has been set to rotate through an angle of 110 degree and project waterout to 12…

A: Given: A lawn sprinkler has been set to rotate through an angle of 110 degree and project water out…

Q: Find the measure of arc DC if angle DSC =73 and the measure of arc AB = 105. Round to the nearest…

A: given: In the circle,  ∠DSC=73, m(arcAB)=105   To determine: The measure of the arc DC

Q: If you roll a 1-m-diameter wheel forward 30 cm over level ground, through what angle will the wheel…

A:

Q: A boat travels on a course of bearing S 63 degree 50' E for 111 miles. How many miles south and how…

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

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

A:

Q: To find the distance from the house at A to the house at B, a surveyor measures the angle ACB, which…

A:

Q: 4 ft. F 6 ft. D Find the value of angle E. Round to the nearest whole degree.

A:

Q: Find the bearing of the ship. Round to the nearest tenth of a degree if necessa 122° The bearing of…

A: Find the angle of the boat form north direction. Angle of boat from north=90°-22°=68°

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

A:

Q: A 110 ft. tree casts a shadow that is 302 ft. long. What is the angle of elevation of the sun? 40°…

A: We find out the angle of the elevation. Follow 2nd step.

Q: Find the height of a clock tower if the angle of elevation from a horizontal point 430 m from its…

A:

Q: An airplane begins its descent with an average speed of 390 mph at an angle of depression of 23º.…

A: Given: Angle of depression is:  23° Average speed of its descent is: 390 mph

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: solve for the missing angle, round your answer to the nearest degree

A:

Q: Find angle –30° in radian measure as a multiple of a. a. 67 b. T/2 2 с. 6 d. 3 3 е. 6

A: The given angle is of measure

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: Determine the value of angle A that corresponds to sec LA=1.3051. Round the answer to the nearest…

A: Given that Sec(A)=1.3051 We have to find the value of angle A.

Q: Find the reference angle for the given angle. 240 degree

A:

Q: 30 ft 3. A flagpole stands in the middle of of a flat level field that is 50 feet away from its…

A:

Q: A helicopter is hovering 110 feet in the air over a landing pad. If the landing agent sees the…

A:

Q: 45 120 218

A:

Q: C 56.3 В А 80.2

A:

Q: The angle between 0 and 2T in radians that is coterminal 55 T in radians is 8 with the angle

A:

Q: Mr. Pratt was building a house. A ladder that is 10 ft. long is leaning against the side of a…

A: Given,

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: A large winch with a radius of 1ft winds in 3 ft of cable.  A) through what angle (in radians) has…

A: a) Given that large winch with a radius of 1ft winds in 3ft of cable. Obtain the angle through which…

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: 27 31

A: Cosx = adjacent/hypotenuse Cosx = 27/31 x= cos^-1(0.8709) x = 29.42°

Q: (a) LABC is a right angle. AB = 8 inches, BC = 11 inches, and AD = 3 feet. D answers to one decimal…

A: AB=8 inches , BC=11 inches

Q: A car rolls forward 5 ft. The car wheel has a 16 in radius. Through what angle (to the nearest tenth…

A: Given Radius of wheel=16 inch A car roll forward = 5 ft = 5 x 12 = 60 inches

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 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: 8. Find the angle of elevation to the top of a tree from the ground if the tree is 10 yards ta and…

A:

Q: 8. The angle of elevation from a car to a tower is 32. The tower is 150 fn. tall. How far is the car…

A:

Q: Find the bearing of the ship. Round to the nearest tenth of a degree if necessary. 333° The bearing…

A:

Q: Find the angle between v = 3j and w = 4i + 5j.Round to the nearest tenth of a degree.

A: Given: v=3j  and w=4i+5j

Q: The person in the picture sights a pigeon above him. If the angle the person is looking at is 0,…

A: Given triangle is right angle having , Perbendicular =17 m Base=12 m Angle=θ

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: The angle between 0 and 2T in radians that is coterminal 62 T in radians is 9 with the angle

A: To get coterminal angles, we have to add or subtract 2π.

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.