1.Find the measure of side a.In

triangle A B C, angle C is marked with a small square. The side opposite angle B is labeled b = 260 centimeters, the side opposite angle A is labeled a, and angle A measures 33 degrees. b = 260 cm

(round to the nearest whole number)

2.Find the measure of side b.

In triangle A B C, angle C is marked with a small square. The side opposite angle A is labeled a = 19 yards, the side opposite angle B is labeled b, and angle A measures 38 degrees.

a = 19 yd

(round to the nearest whole number)

3. A flagpole has a height of 16 yards. It will be supported by three cables, each of which is attached to the flagpole at a point 4 yards below the top of the pole and attached to the ground at a point that is 9 yards from the base of the pole. Find the total number of yards of cable that will be required.

4. A cable runs from the top of a building to a point on the ground 60.3 feet from the base of the building. If the cable makes and angle of 33.7˚ with the ground (see figure), find the following: a. Find the height of the building. Round your answer to the nearest foot. b. Without using your answer from part a, find the length of the cable. Round your answer to the nearest foot.

5. Use the given right triangle to find​ ratios, in reduced​ form, for sin​ A, cos​ A, and tan A.

In triangle A B C, angle C is marked with a small square, the side opposite angle A has length 36, and the side opposite angle C has length 111

Enter the ratios in reduced​ form:

what does sin A​ equal?

6.Find the measures of the parts of the right triangle that are not given.

In triangle A B C, angle C is marked with a small square. The side opposite angle A is labeled a, the side opposite angle C is labeled c, the side opposite angle B has length 15 yards, and angle A measures 32 degrees.

whats a equal?

whats c equal?

7. Find the length x to the nearest whole number.

A triangle with a vertical base labeled x has an upper side extending from the base, falling from right to left to a vertex, and a lower side extending from the base, rising from right to left to the same vertex. A horizontal line segment labeled 523, extends from the left vertex to the base, forming an angle with the base marked by a small square. The angle formed by the line segment and the upper side measures 35 degrees. The angle formed by the line segment and the lower side measures 21 degrees.

what’s x equal?

8.To find the distance across a​ lake, a surveyor took the measurements in the figure shown. Use these measurements to determine how far it is across the lake.

          The distance across a lake is the vertical side of triangle A B C, which is side B C. The side opposite angle A is labeled a = question mark, the side opposite angle B has length 720 yards, angle A measures 35 degrees, and angle C is marked with a small square.

a = ?

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