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3. You are given the triangles ABC with A=240,b=10 cm and c=15 cm. (a) Use the...
12. You are given the triangle ABC with A =61°, b = 8 cm. and c=5 cm. (a) Calculate the unknown length of its side and the unknown measures of its angles. Write down the steps to your answers. (b) What is the area of the triangle?
4. In triangle ABC we are given the following: a = 16 cm, b = 20 cm, ZC = 70°. (i) Use the law of cosines to calculate the value of c to the nearest hundredth of a unit of length. (ii) Use the law of sines to calculate the measure of ZA to the nearest degree. (iii) Find the measure of ZB. (iv) Determine whether the given data produce one triangle, two triangles, or no triangle at all. (v)...
13. You are given the triangle ABC with a=9 inches, b=11 inches, and c=14 inches. Determine the measures, in degrees, of all its three angles to the nearest degree. Write down the steps to your answers.
Use the Law of Sines to solve for all possible triangles that satisfy the given conditions. (If an answer does not exist, enter DNE. Round your answers to one decimal place.) a = 21, b = 17, angle A = 118 degree For the triangle shown, find the following. (Assume u = v = 20 and w = 27. Round your answers to one decimal place.) Find the indicated angle theta. (Use either the Law of Sines or the Law...
11. Write cos 3u - cos Tu as a product of trigonometric functions. Write down the steps to your answer. 12. You are given the triangle ABC with A =61°, b = 8 cm. and c=5 cm. (a) Calculate the unknown length of its side and the unknown measures of its angles. Write down the steps to your answers. (b) What is the area of the triangle?
Refer to triangle ABC, which is not necessarily a right triangle. Find two triangles for which A = 55°, a = 6.5 ft, and b = 7.9 ft. (Round your answers for the angles B, C, B', and c' to the nearest whole number. Round your answers for the sides c and c' to one decimal place.) First triangle (assume B S 90°): в в o C = ft Second triangle (assume B' > 90°): B' = O C' ft
Use the Law of Sines to solve for all possible triangles that satisfy the given conditions. (If an answer does not exist, enter DNE. Round your answers to one decimal place. Below, enter your answers so that ∠B1 is larger than ∠B2.) a = 36, c = 48, ∠A = 39° Find angles; B1, B2, C1, C2 Find sides; b1, b2
Use the Law of Sines to solve for all possible triangles that satisfy the given conditions. a = 39, c = 41, 2A = 38° Step 1 The Law of Sines says that in triangle ABC, you have Step 2 To find the missing values for the triangle, which are B, C, and b, since you have A, a, and c, you can use the Law of Sines. Set up and solve the relation for C, using a, c, and...
Pre Calc/Trig NAME Evaluation Opportunity &**** 10:1710.2 Use the given information to solve for the remaining parts of the triangle. If two solutions exist, find both. Put your answers in the box provided. Round the sides to the nearest tenth and angles to the nearest degree. Law of Sines: sin Asin B sin C Law of Cosines a' =b+c-2bc cos A a 1. mZA= 36, mZB= 98, c = 18 2. a = 4, b=7, c= 9 Solution: Solution:
14. A wire holding a tower makes a 73° angle with level ground. At a point 30 feet farther from the tower than the base of wire (but on the same side as the base of the wire), the angle of elevation to the top of the tower is 35º, (see Figure (2) in the attachment Final Exam Figures.pdf). (a) Determine the unknown agles of triangle ABC. (b) Use the law of sines (apply it to triangle ABC) to calculate...