25. A road is tangent to a circular lake. Along the road and 10 km from the point of tangency, a new road that opens towards the lake is planned to be constructed. From the intersection of the two roads to the periphery of the lake, the length of the new road is 9 km. Compute the radius of the lake if the angle of intersection between the 2 roads is 30. A. 3 km B. 2.4 m C. 3.5 km D. 2 km

Q: 6. If ZDEF is a straight angle, mZDEG = (23x-3), and MZGEF = (12x + 8)", find each measure. %3D %3D…

A: Since you have asked multiple question, As per our policy we will solve the first question for you.…

Q: 14. From the top of a 50 m high bridge, two boats (labelled B and C) are seen at anchor. One boat is…

A: From the top of a 50 m high bridge, two boats are seen at anchor.one boat is seen at the angle of…

Q: 6) A boy is flying two kites at the same time. He has 200 ft of line out to one kite and 280 ft of…

A: Given: A boy is flying two kites simultaneously. He has 200 ft of line out to one kite and 280 ft of…

Q: A mason wants to be sure she has a right corner in a building’s foundation. She marks a point 3 ft…

A: Given,           A mason wants to be sure she has a right corner in a building’s foundation. She…

Q: diagram

A:

Q: B R X N G

A:

Q: 5T Which angle will be coterminal to 3 - 3. T - 3

A:

Q: Two airplanes are approaching an airport to land. The pilot in plane A records an angle of descent…

A:

Q: Calculate the requested distance. The distance from the point S(-10, 2, -1) to the line x = -1 +…

A: Question is solved.

Q: A ray is defined by points Q and R. R is the endpoint. How could you name the ray?

A:

Q: 12. If a b = √3 and a × b = (1,2,2), find the angle between a and b.

A:

Q: 13. Find the measure of two supplementary angles, ZA and <B, if mzA= (3x7)° and mzB = (2x + 2)°.…

A: We can find the angles in the below steps.

Q: From the top of a tower 36 m high, the angles of depression of the top and bottom of another tower…

A: We have to use properties of right angle triangle to solve the problem. For right angle triangle we…

Q: 7. A vegetable garden sprinkler sprays water over a distance of 11 meters and rotates through an…

A:

Q: 5. Two M16 rifles are stocked to the ground. The first rifle is 39" in length while the other is…

A: We can use law of cosine to solve the problem

Q: _4. In triangle PQR, what is the length of adjacent side of angle R? А. 3 В. 4 С. 5 3 5 D. Cannot be…

A: In triangle PQR,PQ=3, QR=4, PR=5

Q: A rectangular garden is 48 meters long. A fence along a diagonal of the garden measures 55 meters.…

A: Here we use the concept of trigonometric ratio.

Q: The angle of elongation between Venus and the Sun is 26". Given that Venus is 67.2 million miles…

A:

Q: 8. The windshield wiper rotates at an angle of 155°. If the length of the wiper mechanism is 24 in…

A: The given question can be solved as shown in step2.

Q: Parking regulations of a municipality require that each parking space be 3 m wide and 7 m long.…

A:

Q: Verify that line segments of length 8, 19, and 25 cm form a triangle and classify the triangle as…

A: Triangles:  Triangle is a closed figure bounded by three line segments. A triangle can be Scalene,…

Q: 2. A plane leaves Kent, OH and heads towards Detroit, MI at a bearing of 110. The distance between…

A: A plane leaves Kent, OH and heads towards Detroit, MI at a bearing of 110°. The distance between…

Q: Given A(-5, 4) & C(3, -4), where C is a mid-point of segment AB. Find the coordinates of the point…

A: Given query is to find the coordinates of B.

Q: Given a triangle with vertices A (1,0,1), B (-1,-1,2), and C(-2,3,1), find the angle between AB, and…

A: We need to find the angle between AB and AC using cosine rule if the given triangle has vertices  A…

Q: 8. Determine the following for Parallelogram ABCD if MZBCD =118°, DC - 26 cm, BC 30 cm, AD x+2, AB…

A: We have to find the term