A ramp has the measurements shown in the figure. What ratio could be used to find the measure of <R, the angle of inclination for the ramp?

Mr. Guzman fully extended his 18-foot ladder, so that the top of the ladder just reached the top of his house. The distance from the house to the base of the ladder was 12 feet. To the nearest tenth of a foot, what is the height of Mr. Guzman's house? (Round to 1 decimal place.)

Wires are used to stabilize a telephone pole that is 50 feet high. A wire from the top of the pole to the ground is 63 feet long. To the nearest degree, what is the measure of the angle where the wire is anchored to the ground?

Mr. Guzman fully extended his 18-foot ladder, so that the top of the ladder just reached the top of his house. The distance from the house to the base of the ladder was 12 feet. To the nearest degree, what is the angle of Mr. Guzman's ladder to the ground?

If y = 5√3 , what is the value of x?

What is sin A?

You want to create a triangular garden between a walkway and a driveway, as shown in the diagram. Find x to the nearest tenth of a foot?

Denise uses a large helium balloon to advertise the Booster Club car wash. She ties it to 35 feet of string, and the angle of inclination the balloon is making from the horizontal is about 56º. How high is the balloon above the ground if it is tied to the back of a chair at a point 2 feet 6 inches above the ground?

A waterski jump has the measurements shown in the figure. What ratio could be used to find the measure of <C, the angle of inclination for the ramp?

A 12-foot ladder rests against the side of a house so the ladder just reaches a window, as shown. What is the approximate height from the bottom of the window to the ground beneath it? (Round to 1 decimal place.)

What is the value of x, in feet?

What is the value of y in the triangle shown?

In this figure, cos X = ²⁴/₂₅. Determine which statement is true about sin X and tan X.

To the nearest tenth of a foot, what is the height of the telephone pole in the diagram?

To the nearest tenth of a foot, what is the length of the wire from the ground to the telephone pole in the diagram?

To the nearest tenth of a meter, what is the length of segment BC in the diagram?

To the nearest tenth of a meter, what is the length of segment AB in the diagram?

In the figure, ΔABC is a right triangle. The length of segment AB is 6 units and the length of segment BC is 3 units. What is the length of AC? (Round to 1 decimal place.)

In the right triangle shown, the length of segment AB is 8 units, <A measures 60º, sin 60º ≈ .866, cos 60º ≈ .5, and tan 60º ≈ 1.73. Approximately how many units long is segment BC, to the nearest hundredth of a unit?

In the right triangle shown, the length of segment AB is 8 units, <A measures 60º, sin 60º ≈ .866, cos 60º ≈ .5, and tan 60º ≈ 1.73. Approximately how many units long is segment AC, to the nearest hundredth of a unit?

If 0º < Xº < 90º and sin X = ¹/₂, then cos X = ? (Hint: Trig & Pyth thm)

What is tan Θ, if sin Θ = ⁵/₁₃ and cos Θ = ¹²/₁₃?

What is cos Θ, if sin Θ = ³/₄ ? (Hint: Pyth thm & trig)

The radio station WEST is erecting a new transmitting tower that is 280 feet tall. A support wire will be attached to the ground at point A and to the tower 250 feet up at point B, as shown. The wire must be at least as long as segment AB. Which of the following expresses the length of segment AB, in feet?

Right triangle ΔABC has angle measures expressed in Greek letters and side lengths a, b, and c inches, as illustrated below. Which of the following is true about the value of the product of tan <C and tan <B ? (Yes, this came off of an old ACT.)

The figure shows 2 points, P and Q, on a unit circle. What is the distance, in coordinate units, from P to Q? (Yes, this came off of an old ACT. It will not be on tomorrow's test. What is the question asking for? There is a formula for this....hint! hint!)