Building and Technology

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1- In a right triangle, the measures of the legs are 20 and 3x, and the measure of the hypotenuse is 4x+1. Show me how to find the value of x.
2- The perimeter of an equilateral triangle is 15. Show me how to find the measure of altitude.
3- A park ranger is [...]

1) In a right triangle, the measures of the legs are 20 and 3x, and the measure of the hypotenuse is 4x+1. Find the value of x.
2) The perimeter of an equilateral triangle is 15. What is the measure of the altitude?
3) A park ranger is in a look-out tower which is 105 ft. above [...]

Please solve, and show the steps of how you solved it:
If the Empire State Building and the Sears Tower were situated 1,000 feet apart, the angle of depression from the top of the Sears Tower to the top of the Empire State Building would be 11.53 degrees. The angle of depression to the foot of [...]

The observation deck of the Chrysler Building is 920 ft above the ground. The sky deck of the Empire State building is 1125 ft from the ground. The Chrysler Building is 7/10 of a mile from the Empire State Building. Help me find the angle of elevation. Show me how to work the problem and [...]

On the top of the Empire State Building is a tv tower. From a point 1.000 x 10^3 ft from a point on the ground directly below the top of the tower, the angle of elevation to the bottom of the tower is 51.34 Degrees and to the top of the tower is 55.81 degrees. [...]