The sides of a parallelogram are 16 m and 10 m, and the longer diagonal makes an angle of 18° with the longer side. Find the length of the longer diagonal. Use the law of sines

Q: When the direction of the sun makes an angle of 35.2° with the horizontal, an oil derrick casts a…

A: When the direction of the sun makes an angle of 35.2° with the horizontal, an oil derrick casts a…

Q: Consider a right triangle with a side of length x opposite angle A, a side of length y opposite…

A: Given,

Q: A 200-foot cliff drops vertically into the ocean. If the angle of elevation from a ship to the top…

A: Let the distance of the ship offshore is x feet. A rough sketch of given situation is shown below…

Q: If the sine of an angle is .6691, Find the angle

A: Let the angle be 'x' sin(x)=0.6691

Q: Consider a right triangle with a side of length x opposite angle A, a side of length y opposite…

A: We use Trigonometry ratios to solve this Question

Q: To apply the law of sines, an angle must be given and a side (opposite/adjacent) the given angle…

A: In a triangle, to apply the Law of Sines, we must have an angle along with the side opposite to the…

Q: Find the exact values of the sine, cosine, and tangent of the angle 15°

A: Find the exact values of the sine, cosine, and tangent of the angle 15°

Q: On the basis of the drawing provided, complete this form of the Law of Cosines. a

A: we need a triangle to describe the law of cosine. In this case we discuss about it.

Q: 3. A ladder leaning against a wall makes an angle of 75° with the ground. If the foot of the ladder…

A: According to question:-

Q: A 12-ft ladder leans against a wall of a house in such a way that it makes an angle of 67° with the…

A:

Q: A slide 4 m long makes an angle of 27 degrees with the ground. How high is the top of the slide…

A: Given,          A slide 4 m long makes a angle of 27 degrees with the ground.

Q: Suppose a 15-foot ladder leans against the side of a house so that the angle of elevation of the…

A: The objective is to find the distance of the base of the ladder from the side of the house.

Q: 1. When the angle of elevation of the sun is 46°, the building casts a horizontal shadow of 60m. How…

A: Note: We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: A sailor wants to anchor his sailboat 30 m from a lighthouse that is 12 m tall. Determine the angle…

A: We have to find angle of elavation

Q: A triangular plot of land has one side along a straight road that is 200 feet long. A second side…

A: Given data: Straight road=200feet Second angle=50° Third angle=43°

Q: A ladder is leaning against the side of a building. If the ladder forms an angle of 60∘ with the…

A:

Q: Use the law of sines to find the measure of the indicated angle

A:

Q: A tree casts a shadow of 14.7 meters when the angle of elevation of the sun is 13.1 degrees. How…

A: A tree shadow of 14.7 meters  angleof elevation of the sun is 13.1 degrees. To find :- Height of a…

Q: If you stand 25 feet from the base of a tree on level ground and the angle from ground to the top of…

A: Given information: Consider AB is the height of the tree, and BC is the distance from the base of…

Q: At a point on the ground 54.0m from the foot of a tree, the angle of elevation to the top of the…

A: Given:

Q: A 6-meter long ladder is leaning against a wall. If the top of the ladder makes an angle of 45…

A:

Q: "For the right triangle shown, express the cos of ∅ as a fraction in lowest terms if side a=8, side…

A: The edge length of the right-angled triangle  is  a=8, side b=6 and side c = 10 We need to find as…

Q: A tower casts a shadow that is 154 feet long when the angle of elevation to the sun is 52°. How tall…

A: We use the definition of tan of an angle heretanθ =opposite sideadjacent side

Q: Use the law of sines to show that no triangle exists for which A = 60 degree, a = 12 inches,and b =…

A: Given: A=60° , a=12 and b=42

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

A:

Q: The angle of elevation from an observer to the top of achurch is 0.3 radian, while the angle of…

A: Firstly Change radian to degree       0.3 radian =17.1887°0.4 radian =22.9183° According to…

Q: A kite is 50 feet high when 170 feet of string is out. What angle does the kite make with the ground…

A:

Q: A 18-ft ladder leans against a building so that the angle between the ground and the ladder is 67°.…

A: Ladder = 18 ftangle , θ= 67°

Q: At 1 1 o'clock the hands of a clock form an angle of___?

A: We know that the circle makes an angle of 360 degree.

Q: From a boat on the lake, the angle of elevation to the top of a cliff is 29 degrees 4’. If the base…

A: Given that: Angle of elevation= θ =29°4' Base of the cliff = B = 380 feet To find H, the height of…

Q: A 20-ft ladder leans against a building so that the angle between the ground and the ladder is 72…

A:

Q: A surveyor set up his instrument at A and measured the angle of elevation of the top of a tower and…

A:

Q: A radio tower is located 350 feet from a building. From a window in the building, a person…

A:

Q: A man wants to determine the height of a light house. He measured the angle from the ground and…

A: Given   tan A=3/4 Distance from base of light house to A is 40m .  We have to find height of light…

Q: A 6-meter long ladder is leaning against a wall. If the top of the ladder makes an angle of 450 with…

A: A 6-meter long ladder is leaning against a wall. If the top of the ladder makes an angle of 450 with…

Q: A triangle has a length of 38 cm and 42 cm on its two sides, and the angles opposite to these sides…

A: We have to find the length of the third side of the triangle.  We have that the length of the two…

Q: Use the law of sines to show that exactly one triangle exists for which A = 42 degree,a = 29 inches,…

A: Given: A=42 degree a=29 in b=21 in Formula used: sin Aa=sin Bb

Q: The angle between the bottom of the fence and the top of the tree is 75 degrees. The tree is four…

A:

Q: A bird is on perched on top of an 18 feet high flagpole. If the angle of depression of its direct…

A:

Q: From the top of a fire tower that is 45 feet high, a forest ranger sees her colleague on the ground…

A: From the top of a fire tower that is 45 feet high, a forest ranger sees her colleague on the ground…

Q: From the top of a fire tower, a forest ranger sees his partner on the ground at an angle of…

A: We know that the trigonometric ratio of tangent is  tan(x) = perpendicular / adjacent  tan(x) =…

Q: A monument is 95 meters highAt an information booth, an observer notices the angle of elevation to…

A:

Q: in a building, a person determines that the angle of elevation to the top of the monument is 15° and…

A:

Q: se the Law of Sines to verify that there is no such triangle that satisfies the given conditions: =…

A:

Q: If you stand 100 feet from the gym, how tall would it be if the angle of elevation feet to the top…

A: Lets assume that the gym is x feet tall . Drawing the Diagram as per  the Question , Let OA…

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: From a point 250 ft from the base of a tower, the angle of elevation to the top of the tower is 18.5…

A:

Q: law of Sines

A:

Q: One leg of a right triangle is 4 feet long, and the angle next to it is π/5 radians. Find the length…

A: We have to find